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157375260 = 22325732549
BaseRepresentation
bin10010110000101…
…01101100011100
3101222010111021100
421120111230130
5310242002020
623341033100
73620445000
oct1130255434
9358114240
10157375260
118091a3a9
1244855790
13267b1b73
1416c88700
15dc39a90
hex9615b1c

157375260 has 144 divisors (see below), whose sum is σ = 556920000. Its totient is φ = 35957376.

The previous prime is 157375237. The next prime is 157375297. The reversal of 157375260 is 62573751.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 60466 + ... + 63014.

It is an arithmetic number, because the mean of its divisors is an integer number (3867500).

Almost surely, 2157375260 is an apocalyptic number.

157375260 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 157375260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278460000).

157375260 is an abundant number, since it is smaller than the sum of its proper divisors (399544740).

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

157375260 is a wasteful number, since it uses less digits than its factorization.

157375260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 157375260 is about 12544.9296530511. The cubic root of 157375260 is about 539.8985406090.

The spelling of 157375260 in words is "one hundred fifty-seven million, three hundred seventy-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 343 420 441 490 588 630 686 735 882 980 1029 1260 1372 1470 1715 1764 2058 2205 2549 2940 3087 3430 4116 4410 5098 5145 6174 6860 7647 8820 10196 10290 12348 12745 15294 15435 17843 20580 22941 25490 30588 30870 35686 38235 45882 50980 53529 61740 71372 76470 89215 91764 107058 114705 124901 152940 160587 178430 214116 229410 249802 267645 321174 356860 374703 458820 499604 535290 624505 642348 749406 802935 874307 1070580 1124109 1249010 1498812 1605870 1748614 1873515 2248218 2498020 2622921 3211740 3497228 3747030 4371535 4496436 5245842 5620545 7494060 7868763 8743070 10491684 11241090 13114605 15737526 17486140 22482180 26229210 31475052 39343815 52458420 78687630 157375260