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157693500 = 22335311681
BaseRepresentation
bin10010110011000…
…11011000111100
3101222201122211000
421121203120330
5310332143000
623351530300
73623241546
oct1131433074
9358648730
10157693500
1181017508
1244989990
1326893983
1416d2c696
15dc9e000
hex966363c

157693500 has 96 divisors (see below), whose sum is σ = 510269760. Its totient is φ = 42048000.

The previous prime is 157693463. The next prime is 157693531. The reversal of 157693500 is 5396751.

It is a happy number.

157693500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7660 + ... + 19340.

It is an arithmetic number, because the mean of its divisors is an integer number (5315310).

Almost surely, 2157693500 is an apocalyptic number.

157693500 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 157693500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255134880).

157693500 is an abundant number, since it is smaller than the sum of its proper divisors (352576260).

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

157693500 is a wasteful number, since it uses less digits than its factorization.

157693500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11709 (or 11691 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 157693500 is about 12557.6072561615. The cubic root of 157693500 is about 540.2622183279.

The spelling of 157693500 in words is "one hundred fifty-seven million, six hundred ninety-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 180 225 250 270 300 375 450 500 540 675 750 900 1125 1350 1500 2250 2700 3375 4500 6750 11681 13500 23362 35043 46724 58405 70086 105129 116810 140172 175215 210258 233620 292025 315387 350430 420516 525645 584050 630774 700860 876075 1051290 1168100 1261548 1460125 1576935 1752150 2102580 2628225 2920250 3153870 3504300 4380375 5256450 5840500 6307740 7884675 8760750 10512900 13141125 15769350 17521500 26282250 31538700 39423375 52564500 78846750 157693500