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157012680 = 233511176997
BaseRepresentation
bin10010101101111…
…01001011001000
3101221110001220110
421112331023020
5310143401210
623325154320
73614404626
oct1126751310
9357401813
10157012680
11806a1a50
12446bb9a0
13266b5b16
1416bd2516
15dbb7420
hex95bd2c8

157012680 has 128 divisors (see below), whose sum is σ = 544164480. Its totient is φ = 35819520.

The previous prime is 157012679. The next prime is 157012727. The reversal of 157012680 is 86210751.

157012680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

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, 18942 + ... + 25938.

It is an arithmetic number, because the mean of its divisors is an integer number (4251285).

Almost surely, 2157012680 is an apocalyptic number.

157012680 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 157012680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272082240).

157012680 is an abundant number, since it is smaller than the sum of its proper divisors (387151800).

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

157012680 is a wasteful number, since it uses less digits than its factorization.

157012680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7039 (or 7035 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 157012680 is about 12530.4700630104. The cubic root of 157012680 is about 539.4835941062.

It can be divided in two parts, 15701 and 2680, that added together give a palindrome (18381).

The spelling of 157012680 in words is "one hundred fifty-seven million, twelve thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 6997 7480 11220 13994 20991 22440 27988 34985 41982 55976 69970 76967 83964 104955 118949 139940 153934 167928 209910 230901 237898 279880 307868 356847 384835 419820 461802 475796 594745 615736 713694 769670 839640 923604 951592 1154505 1189490 1308439 1427388 1539340 1784235 1847208 2309010 2378980 2616878 2854776 3078680 3568470 3925317 4618020 4757960 5233756 6542195 7136940 7850634 9236040 10467512 13084390 14273880 15701268 19626585 26168780 31402536 39253170 52337560 78506340 157012680