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157690200 = 23352892953
BaseRepresentation
bin10010110011000…
…10100101011000
3101222201111021210
421121202211120
5310332041300
623351503120
73623226123
oct1131424530
9358644253
10157690200
1181014a88
1244987aa0
1326892315
1416d2b3ba
15dc9d050
hex9662958

157690200 has 96 divisors (see below), whose sum is σ = 494499600. Its totient is φ = 41564160.

The previous prime is 157690199. The next prime is 157690201. The reversal of 157690200 is 2096751.

It is an interprime number because it is at equal distance from previous prime (157690199) and next prime (157690201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157690201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51924 + ... + 54876.

Almost surely, 2157690200 is an apocalyptic number.

157690200 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 157690200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247249800).

157690200 is an abundant number, since it is smaller than the sum of its proper divisors (336809400).

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

157690200 is a wasteful number, since it uses less digits than its factorization.

157690200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 157690200 is about 12557.4758610160. The cubic root of 157690200 is about 540.2584496717.

The spelling of 157690200 in words is "one hundred fifty-seven million, six hundred ninety thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 150 178 200 267 300 356 445 534 600 712 890 1068 1335 1780 2136 2225 2670 2953 3560 4450 5340 5906 6675 8859 8900 10680 11812 13350 14765 17718 17800 23624 26700 29530 35436 44295 53400 59060 70872 73825 88590 118120 147650 177180 221475 262817 295300 354360 442950 525634 590600 788451 885900 1051268 1314085 1576902 1771800 2102536 2628170 3153804 3942255 5256340 6307608 6570425 7884510 10512680 13140850 15769020 19711275 26281700 31538040 39422550 52563400 78845100 157690200