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157422960 = 24335312351
BaseRepresentation
bin10010110001000…
…01010101110000
3101222012220201000
421120201111300
5310300013320
623342042000
73621034032
oct1130412560
9358186630
10157422960
1180952222
1244879300
13267ca7a6
1416c9bc52
15dc48c90
hex9621570

157422960 has 160 divisors (see below), whose sum is σ = 559964160. Its totient is φ = 40608000.

The previous prime is 157422953. The next prime is 157422983. The reversal of 157422960 is 69224751.

157422960 is a `hidden beast` number, since 1 + 574 + 2 + 29 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65785 + ... + 68135.

It is an arithmetic number, because the mean of its divisors is an integer number (3499776).

Almost surely, 2157422960 is an apocalyptic number.

157422960 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 157422960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279982080).

157422960 is an abundant number, since it is smaller than the sum of its proper divisors (402541200).

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

157422960 is a wasteful number, since it uses less digits than its factorization.

157422960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 157422960 is about 12546.8306755132. The cubic root of 157422960 is about 539.9530823435.

The spelling of 157422960 in words is "one hundred fifty-seven million, four hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1080 1116 1240 1395 1488 1674 1860 2160 2232 2351 2480 2790 3348 3720 4185 4464 4702 5580 6696 7053 7440 8370 9404 11160 11755 13392 14106 16740 18808 21159 22320 23510 28212 33480 35265 37616 42318 47020 56424 63477 66960 70530 72881 84636 94040 105795 112848 126954 141060 145762 169272 188080 211590 218643 253908 282120 291524 317385 338544 364405 423180 437286 507816 564240 583048 634770 655929 728810 846360 874572 1015632 1093215 1166096 1269540 1311858 1457620 1692720 1749144 1967787 2186430 2539080 2623716 2915240 3279645 3498288 3935574 4372860 5078160 5247432 5830480 6559290 7871148 8745720 9838935 10494864 13118580 15742296 17491440 19677870 26237160 31484592 39355740 52474320 78711480 157422960