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158790132 = 223417127227
BaseRepresentation
bin10010111011011…
…11000111110100
3102001210101010000
421131233013310
5311122241012
623431231300
73635456664
oct1135570764
9361711100
10158790132
11816a6416
1245218530
1326b88b77
14171361a4
15de18ddc
hex976f1f4

158790132 has 120 divisors (see below), whose sum is σ = 444939264. Its totient is φ = 49206528.

The previous prime is 158790131. The next prime is 158790157. The reversal of 158790132 is 231097851.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158790131) 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 39 ways as a sum of consecutive naturals, for example, 699403 + ... + 699629.

Almost surely, 2158790132 is an apocalyptic number.

158790132 is a gapful number since it is divisible by the number (12) 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 158790132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222469632).

158790132 is an abundant number, since it is smaller than the sum of its proper divisors (286149132).

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

158790132 is a wasteful number, since it uses less digits than its factorization.

158790132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 158790132 is about 12601.1956575557. The cubic root of 158790132 is about 541.5116901122.

It can be divided in two parts, 1587 and 90132, that added together give a palindrome (91719).

The spelling of 158790132 in words is "one hundred fifty-eight million, seven hundred ninety thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 127 153 162 204 227 254 306 324 381 454 459 508 612 681 762 908 918 1143 1362 1377 1524 1836 2043 2159 2286 2724 2754 3429 3859 4086 4318 4572 5508 6129 6477 6858 7718 8172 8636 10287 11577 12258 12954 13716 15436 18387 19431 20574 23154 24516 25908 28829 34731 36774 38862 41148 46308 57658 58293 69462 73548 77724 86487 104193 115316 116586 138924 172974 174879 208386 233172 259461 312579 345948 349758 416772 490093 518922 625158 699516 778383 980186 1037844 1250316 1470279 1556766 1960372 2335149 2940558 3113532 4410837 4670298 5881116 8821674 9340596 13232511 17643348 26465022 39697533 52930044 79395066 158790132