Search a number
-
+
157549900 = 225219101821
BaseRepresentation
bin10010110010000…
…00010101001100
3101222110100211111
421121000111030
5310313044100
623344501404
73622103104
oct1131002514
9358410744
10157549900
1180a29632
124491a864
13268434c1
1416cd2204
15dc716ba
hex964054c

157549900 has 72 divisors (see below), whose sum is σ = 363882960. Its totient is φ = 59040000.

The previous prime is 157549891. The next prime is 157549907. The reversal of 157549900 is 9945751.

It is not an unprimeable number, because it can be changed into a prime (157549907) 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, 191490 + ... + 192310.

It is an arithmetic number, because the mean of its divisors is an integer number (5053930).

Almost surely, 2157549900 is an apocalyptic number.

157549900 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 157549900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181941480).

157549900 is an abundant number, since it is smaller than the sum of its proper divisors (206333060).

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

157549900 is a wasteful number, since it uses less digits than its factorization.

157549900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 40.

The square root of 157549900 is about 12551.8883041557. Note that the first 3 decimals coincide. The cubic root of 157549900 is about 540.0981760227.

The spelling of 157549900 in words is "one hundred fifty-seven million, five hundred forty-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 101 190 202 380 404 475 505 821 950 1010 1642 1900 1919 2020 2525 3284 3838 4105 5050 7676 8210 9595 10100 15599 16420 19190 20525 31198 38380 41050 47975 62396 77995 82100 82921 95950 155990 165842 191900 311980 331684 389975 414605 779950 829210 1559900 1575499 1658420 2073025 3150998 4146050 6301996 7877495 8292100 15754990 31509980 39387475 78774950 157549900