Search a number
-
+
10507910540 = 2257173167607
BaseRepresentation
bin10011100100101000…
…11111110110001100
31000010022111011101212
421302110133312030
5133010011114130
64454404553552
7521252523461
oct116224376614
930108434355
1010507910540
114502494796
1220530b28b8
13cb5cb205a
147197b7668
15417789e95
hex27251fd8c

10507910540 has 96 divisors (see below), whose sum is σ = 22857375744. Its totient is φ = 4056030720.

The previous prime is 10507910533. The next prime is 10507910573. The reversal of 10507910540 is 4501970501.

It is a super-2 number, since 2×105079105402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10507910497 and 10507910506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17310917 + ... + 17311523.

It is an arithmetic number, because the mean of its divisors is an integer number (238097664).

Almost surely, 210507910540 is an apocalyptic number.

10507910540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10507910540 is an abundant number, since it is smaller than the sum of its proper divisors (12349465204).

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

10507910540 is a wasteful number, since it uses less digits than its factorization.

10507910540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 32.

The spelling of 10507910540 in words is "ten billion, five hundred seven million, nine hundred ten thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 71 73 142 146 167 284 292 334 355 365 607 668 710 730 835 1214 1420 1460 1670 2428 3035 3340 5183 6070 10366 11857 12140 12191 20732 23714 24382 25915 43097 44311 47428 48764 51830 59285 60955 86194 88622 101369 103660 118570 121910 172388 177244 202738 215485 221555 237140 243820 405476 430970 443110 506845 861940 865561 886220 1013690 1731122 2027380 3146081 3462244 4327805 6292162 7197199 7399937 8655610 12584324 14394398 14799874 15730405 17311220 28788796 29599748 31460810 35985995 36999685 62921620 71971990 73999370 143943980 147998740 525395527 1050791054 2101582108 2626977635 5253955270 10507910540