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157970000 = 245415797
BaseRepresentation
bin10010110101001…
…10111001010000
3102000020201002202
421122212321100
5310420020000
623401502332
73625502636
oct1132467120
9360221082
10157970000
1181196221
1244aa19a8
132695c796
1416da1356
15dd05dd5
hex96a6e50

157970000 has 50 divisors (see below), whose sum is σ = 382485378. Its totient is φ = 63184000.

The previous prime is 157969991. The next prime is 157970023. The reversal of 157970000 is 79751.

It can be written as a sum of positive squares in 5 ways, for example, as 44249104 + 113720896 = 6652^2 + 10664^2 .

It is a tau number, because it is divible by the number of its divisors (50).

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 9 ways as a sum of consecutive naturals, for example, 2102 + ... + 17898.

Almost surely, 2157970000 is an apocalyptic number.

157970000 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 157970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191242689).

157970000 is an abundant number, since it is smaller than the sum of its proper divisors (224515378).

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

157970000 is an equidigital number, since it uses as much as digits as its factorization.

157970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15825 (or 15804 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 29.

The square root of 157970000 is about 12568.6116973992. The cubic root of 157970000 is about 540.5777994587.

The spelling of 157970000 in words is "one hundred fifty-seven million, nine hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 15797 31594 63188 78985 126376 157970 252752 315940 394925 631880 789850 1263760 1579700 1974625 3159400 3949250 6318800 7898500 9873125 15797000 19746250 31594000 39492500 78985000 157970000