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157714704 = 24327473329
BaseRepresentation
bin10010110011010…
…00100100010000
3101222202201220100
421121220210100
5310333332304
623352212400
73623360430
oct1131504420
9358681810
10157714704
1181031434
124499a100
13268a0514
1416d362c0
15dca5439
hex9668910

157714704 has 120 divisors (see below), whose sum is σ = 515324160. Its totient is φ = 44089344.

The previous prime is 157714679. The next prime is 157714709. The reversal of 157714704 is 407417751.

157714704 is a `hidden beast` number, since 1 + 577 + 14 + 70 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (157714709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45712 + ... + 49040.

It is an arithmetic number, because the mean of its divisors is an integer number (4294368).

Almost surely, 2157714704 is an apocalyptic number.

157714704 is a gapful number since it is divisible by the number (14) 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 157714704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257662080).

157714704 is an abundant number, since it is smaller than the sum of its proper divisors (357609456).

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

157714704 is a wasteful number, since it uses less digits than its factorization.

157714704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 157714704 is about 12558.4514969004. The cubic root of 157714704 is about 540.2864324028.

The spelling of 157714704 in words is "one hundred fifty-seven million, seven hundred fourteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 56 63 72 84 94 112 126 141 144 168 188 252 282 329 336 376 423 504 564 658 752 846 987 1008 1128 1316 1692 1974 2256 2632 2961 3329 3384 3948 5264 5922 6658 6768 7896 9987 11844 13316 15792 19974 23303 23688 26632 29961 39948 46606 47376 53264 59922 69909 79896 93212 119844 139818 156463 159792 186424 209727 239688 279636 312926 372848 419454 469389 479376 559272 625852 838908 938778 1095241 1118544 1251704 1408167 1677816 1877556 2190482 2503408 2816334 3285723 3355632 3755112 4380964 5632668 6571446 7510224 8761928 9857169 11265336 13142892 17523856 19714338 22530672 26285784 39428676 52571568 78857352 157714704