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2140332240 = 2435291811699
BaseRepresentation
bin111111110010010…
…1110000011010000
312112011102010212110
41333210232003100
513340411112430
6552214425320
7104016344454
oct17744560320
95464363773
102140332240
119a9186322
124b8962240
1328156c9a7
14164388664
15c7d827b0
hex7f92e0d0

2140332240 has 160 divisors (see below), whose sum is σ = 6905808000. Its totient is φ = 547706880.

The previous prime is 2140332239. The next prime is 2140332247. The reversal of 2140332240 is 422330412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140332247) 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, 1258911 + ... + 1260609.

It is an arithmetic number, because the mean of its divisors is an integer number (43161300).

Almost surely, 22140332240 is an apocalyptic number.

2140332240 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 2140332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452904000).

2140332240 is an abundant number, since it is smaller than the sum of its proper divisors (4765475760).

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

2140332240 is a wasteful number, since it uses less digits than its factorization.

2140332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2140332240 is about 46263.7248824606. The cubic root of 2140332240 is about 1288.7254281847.

Adding to 2140332240 its reverse (422330412), we get a palindrome (2562662652).

The spelling of 2140332240 in words is "two billion, one hundred forty million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 181 232 240 290 348 362 435 464 543 580 696 724 870 905 1086 1160 1392 1448 1699 1740 1810 2172 2320 2715 2896 3398 3480 3620 4344 5097 5249 5430 6796 6960 7240 8495 8688 10194 10498 10860 13592 14480 15747 16990 20388 20996 21720 25485 26245 27184 31494 33980 40776 41992 43440 49271 50970 52490 62988 67960 78735 81552 83984 98542 101940 104980 125976 135920 147813 157470 197084 203880 209960 246355 251952 295626 307519 314940 394168 407760 419920 492710 591252 615038 629880 739065 788336 922557 985420 1182504 1230076 1259760 1478130 1537595 1845114 1970840 2365008 2460152 2956260 3075190 3690228 3941680 4612785 4920304 5912520 6150380 7380456 8918051 9225570 11825040 12300760 14760912 17836102 18451140 24601520 26754153 35672204 36902280 44590255 53508306 71344408 73804560 89180510 107016612 133770765 142688816 178361020 214033224 267541530 356722040 428066448 535083060 713444080 1070166120 2140332240