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159130400 = 255211132107
BaseRepresentation
bin10010111110000…
…10001100100000
3102002102122212112
421133002030200
5311214133100
623442414452
73641405012
oct1137021440
9362378775
10159130400
1181909030
1245361428
1326c77a00
14171c41b2
15de84b35
hex97c2320

159130400 has 216 divisors, whose sum is σ = 463189104. Its totient is φ = 52915200.

The previous prime is 159130381. The next prime is 159130423. The reversal of 159130400 is 4031951.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1487147 + ... + 1487253.

It is an arithmetic number, because the mean of its divisors is an integer number (2144394).

Almost surely, 2159130400 is an apocalyptic number.

159130400 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 159130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231594552).

159130400 is an abundant number, since it is smaller than the sum of its proper divisors (304058704).

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

159130400 is a wasteful number, since it uses less digits than its factorization.

159130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 159130400 is about 12614.6898495365. The cubic root of 159130400 is about 541.8982121186.

The spelling of 159130400 in words is "one hundred fifty-nine million, one hundred thirty thousand, four hundred".