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157343940 = 2232513193539
BaseRepresentation
bin10010110000011…
…10000011000100
3101222001220022100
421120032003010
5310240001230
623340232100
73620254455
oct1130160304
9358056270
10157343940
11808a8916
124483b630
13267a0830
1416c7b12c
15dc30660
hex960e0c4

157343940 has 144 divisors (see below), whose sum is σ = 541195200. Its totient is φ = 36681984.

The previous prime is 157343929. The next prime is 157344001. The reversal of 157343940 is 49343751.

157343940 is a `hidden beast` number, since 1 + 573 + 43 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157343895 and 157343904.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42691 + ... + 46229.

It is an arithmetic number, because the mean of its divisors is an integer number (3758300).

Almost surely, 2157343940 is an apocalyptic number.

157343940 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 157343940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270597600).

157343940 is an abundant number, since it is smaller than the sum of its proper divisors (383851260).

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

157343940 is a wasteful number, since it uses less digits than its factorization.

157343940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 157343940 is about 12543.6812778387. The cubic root of 157343940 is about 539.8627223061.

The spelling of 157343940 in words is "one hundred fifty-seven million, three hundred forty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3539 3705 4446 4940 7078 7410 8892 10617 11115 14156 14820 17695 21234 22230 31851 35390 42468 44460 46007 53085 63702 67241 70780 92014 106170 127404 134482 138021 159255 184028 201723 212340 230035 268964 276042 318510 336205 403446 414063 460070 552084 605169 637020 672410 690105 806892 828126 874133 920140 1008615 1210338 1344820 1380210 1656252 1748266 2017230 2070315 2420676 2622399 2760420 3025845 3496532 4034460 4140630 4370665 5244798 6051690 7867197 8281260 8741330 10489596 12103380 13111995 15734394 17482660 26223990 31468788 39335985 52447980 78671970 157343940