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157062114 = 232112371949
BaseRepresentation
bin10010101110010…
…01001111100010
3101221112120201100
421113021033202
5310201441424
623330215230
73615002016
oct1127111742
9357476640
10157062114
1180726100
1244724516
1326702481
1416c06546
15dbc6dc9
hex95c93e2

157062114 has 72 divisors (see below), whose sum is σ = 384356700. Its totient is φ = 46284480.

The previous prime is 157062097. The next prime is 157062119. The reversal of 157062114 is 411260751.

It is a happy number.

157062114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 134165889 + 22896225 = 11583^2 + 4785^2 .

It is not an unprimeable number, because it can be changed into a prime (157062119) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79612 + ... + 81560.

Almost surely, 2157062114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157062114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192178350).

157062114 is an abundant number, since it is smaller than the sum of its proper divisors (227294586).

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

157062114 is a wasteful number, since it uses less digits than its factorization.

157062114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 157062114 is about 12532.4424594729. The cubic root of 157062114 is about 539.5402053168.

The spelling of 157062114 in words is "one hundred fifty-seven million, sixty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 121 198 222 242 333 363 407 666 726 814 1089 1221 1949 2178 2442 3663 3898 4477 5847 7326 8954 11694 13431 17541 21439 26862 35082 40293 42878 64317 72113 80586 128634 144226 192951 216339 235829 385902 432678 471658 649017 707487 793243 1298034 1414974 1586486 2122461 2379729 4244922 4759458 7139187 8725673 14278374 17451346 26177019 52354038 78531057 157062114