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157406424 = 23372137977
BaseRepresentation
bin10010110000111…
…01010011011000
3101222012002000120
421120131103120
5310244001144
623341433240
73620634600
oct1130352330
9358162016
10157406424
118094085a
124486b820
13267c30c6
1416c95c00
15dc43e19
hex961d4d8

157406424 has 96 divisors (see below), whose sum is σ = 461576880. Its totient is φ = 44599296.

The previous prime is 157406423. The next prime is 157406471. The reversal of 157406424 is 424604751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157406423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160624 + ... + 161600.

Almost surely, 2157406424 is an apocalyptic number.

157406424 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 157406424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230788440).

157406424 is an abundant number, since it is smaller than the sum of its proper divisors (304170456).

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

157406424 is a wasteful number, since it uses less digits than its factorization.

157406424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 157406424 is about 12546.1716870127. The cubic root of 157406424 is about 539.9341757900.

The spelling of 157406424 in words is "one hundred fifty-seven million, four hundred six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 137 147 168 196 274 294 392 411 548 588 822 959 977 1096 1176 1644 1918 1954 2877 2931 3288 3836 3908 5754 5862 6713 6839 7672 7816 11508 11724 13426 13678 20139 20517 23016 23448 26852 27356 40278 41034 47873 53704 54712 80556 82068 95746 133849 143619 161112 164136 191492 267698 287238 382984 401547 535396 574476 803094 936943 1070792 1148952 1606188 1873886 2810829 3212376 3747772 5621658 6558601 7495544 11243316 13117202 19675803 22486632 26234404 39351606 52468808 78703212 157406424