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157211890 = 251119237107
BaseRepresentation
bin10010101111011…
…01110011110010
3101221211012011121
421113231303302
5310221240030
623333332454
73616164463
oct1127556362
9357735147
10157211890
1180818690
124479712a
13267556b4
1416c44d6a
15dc0647a
hex95edcf2

157211890 has 96 divisors (see below), whose sum is σ = 337742784. Its totient is φ = 52202880.

The previous prime is 157211863. The next prime is 157211893. The reversal of 157211890 is 98112751.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157211893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1469217 + ... + 1469323.

It is an arithmetic number, because the mean of its divisors is an integer number (3518154).

Almost surely, 2157211890 is an apocalyptic number.

157211890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157211890 is an abundant number, since it is smaller than the sum of its proper divisors (180530894).

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

157211890 is a wasteful number, since it uses less digits than its factorization.

157211890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 34.

The square root of 157211890 is about 12538.4165666961. The cubic root of 157211890 is about 539.7116544720.

The spelling of 157211890 in words is "one hundred fifty-seven million, two hundred eleven thousand, eight hundred ninety".

Divisors: 1 2 5 10 11 19 22 37 38 55 74 95 107 110 185 190 209 214 361 370 407 418 535 703 722 814 1045 1070 1177 1406 1805 2033 2035 2090 2354 3515 3610 3959 3971 4066 4070 5885 7030 7733 7918 7942 10165 11770 13357 15466 19795 19855 20330 22363 26714 38627 38665 39590 39710 43549 44726 66785 75221 77254 77330 87098 111815 133570 146927 150442 193135 217745 223630 293854 376105 386270 424897 435490 734635 752210 827431 849794 1429199 1469270 1654862 2124485 2858398 4137155 4248970 7145995 8274310 14291990 15721189 31442378 78605945 157211890