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2141061360 = 243519835657
BaseRepresentation
bin111111110011110…
…0000000011110000
312112012210012000220
41333213200003300
513341102430420
6552242213040
7104025502254
oct17747400360
95465705026
102141061360
119a96340a9
124b9054180
13281766819
141644d8264
15c7e78840
hex7f9e00f0

2141061360 has 160 divisors (see below), whose sum is σ = 7072047360. Its totient is φ = 534288384.

The previous prime is 2141061323. The next prime is 2141061361. The reversal of 2141061360 is 631601412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2141061360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141061361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375652 + ... + 381308.

It is an arithmetic number, because the mean of its divisors is an integer number (44200296).

Almost surely, 22141061360 is an apocalyptic number.

2141061360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141061360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536023680).

2141061360 is an abundant number, since it is smaller than the sum of its proper divisors (4930986000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2141061360 is a wasteful number, since it uses less digits than its factorization.

2141061360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5775 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2141061360 is about 46271.6042514197. The cubic root of 2141061360 is about 1288.8717495189.

Adding to 2141061360 its reverse (631601412), we get a palindrome (2772662772).

The spelling of 2141061360 in words is "two billion, one hundred forty-one million, sixty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 83 95 114 120 152 166 190 228 240 249 285 304 332 380 415 456 498 570 664 760 830 912 996 1140 1245 1328 1520 1577 1660 1992 2280 2490 3154 3320 3984 4560 4731 4980 5657 6308 6640 7885 9462 9960 11314 12616 15770 16971 18924 19920 22628 23655 25232 28285 31540 33942 37848 45256 47310 56570 63080 67884 75696 84855 90512 94620 107483 113140 126160 135768 169710 189240 214966 226280 271536 322449 339420 378480 429932 452560 469531 537415 644898 678840 859864 939062 1074830 1289796 1357680 1408593 1612245 1719728 1878124 2149660 2347655 2579592 2817186 3224490 3756248 4299320 4695310 5159184 5634372 6448980 7042965 7512496 8598640 8921089 9390620 11268744 12897960 14085930 17842178 18781240 22537488 25795920 26763267 28171860 35684356 37562480 44605445 53526534 56343720 71368712 89210890 107053068 112687440 133816335 142737424 178421780 214106136 267632670 356843560 428212272 535265340 713687120 1070530680 2141061360