Search a number
-
+
1240112640 = 29351312421
BaseRepresentation
bin100100111101010…
…1001111000000000
310012102111020201210
41021322221320000
510014432101030
6323015530120
742505532514
oct11172517000
93172436653
101240112640
11587013a88
122a7389940
13169bca380
14ba9b2144
1573d10bb0
hex49ea9e00

1240112640 has 160 divisors (see below), whose sum is σ = 4269789216. Its totient is φ = 305233920.

The previous prime is 1240112611. The next prime is 1240112641. The reversal of 1240112640 is 462110421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240112641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93630 + ... + 106050.

Almost surely, 21240112640 is an apocalyptic number.

1240112640 is a gapful number since it is divisible by the number (10) 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 1240112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134894608).

1240112640 is an abundant number, since it is smaller than the sum of its proper divisors (3029676576).

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

1240112640 is a wasteful number, since it uses less digits than its factorization.

1240112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12460 (or 12444 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1240112640 is about 35215.2330675235. The cubic root of 1240112640 is about 1074.3696004684.

The spelling of 1240112640 in words is "one billion, two hundred forty million, one hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1040 1248 1280 1536 1560 1664 1920 2080 2496 2560 3120 3328 3840 4160 4992 6240 6656 7680 8320 9984 12421 12480 16640 19968 24842 24960 33280 37263 49684 49920 62105 74526 99368 99840 124210 149052 161473 186315 198736 248420 298104 322946 372630 397472 484419 496840 596208 645892 745260 794944 807365 968838 993680 1192416 1291784 1490520 1589888 1614730 1937676 1987360 2384832 2422095 2583568 2981040 3179776 3229460 3875352 3974720 4769664 4844190 5167136 5962080 6359552 6458920 7750704 7949440 9539328 9688380 10334272 11924160 12917840 15501408 15898880 19078656 19376760 20668544 23848320 25835680 31002816 31797760 38753520 41337088 47696640 51671360 62005632 77507040 82674176 95393280 103342720 124011264 155014080 206685440 248022528 310028160 413370880 620056320 1240112640