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157493340 = 223251018663
BaseRepresentation
bin10010110001100…
…10100001011100
3101222100111020200
421120302201130
5310304241330
623343343500
73621446154
oct1130624134
9358314220
10157493340
11809a0094
12448b1b90
1326823834
1416cb9764
15dc5ea60
hex963285c

157493340 has 72 divisors (see below), whose sum is σ = 482515488. Its totient is φ = 41577600.

The previous prime is 157493333. The next prime is 157493359. The reversal of 157493340 is 43394751.

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

It is a junction number, because it is equal to n+sod(n) for n = 157493295 and 157493304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13849 + ... + 22511.

It is an arithmetic number, because the mean of its divisors is an integer number (6701604).

Almost surely, 2157493340 is an apocalyptic number.

157493340 is a gapful number since it is divisible by the number (10) 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 157493340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241257744).

157493340 is an abundant number, since it is smaller than the sum of its proper divisors (325022148).

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

157493340 is a wasteful number, since it uses less digits than its factorization.

157493340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8779 (or 8774 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 157493340 is about 12549.6350544548. The cubic root of 157493340 is about 540.0335370118.

The spelling of 157493340 in words is "one hundred fifty-seven million, four hundred ninety-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 8663 9090 17326 18180 25989 34652 43315 51978 77967 86630 103956 129945 155934 173260 259890 311868 389835 519780 779670 874963 1559340 1749926 2624889 3499852 4374815 5249778 7874667 8749630 10499556 13124445 15749334 17499260 26248890 31498668 39373335 52497780 78746670 157493340