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150485400 = 2332521359109
BaseRepresentation
bin10001111100000…
…11100110011000
3101111011110011100
420332003212120
5302011013100
622533231400
73505050642
oct1076034630
9344143140
10150485400
1177a439aa
1242492560
132523bb20
1415db3892
15d328400
hex8f83998

150485400 has 288 divisors, whose sum is σ = 558558000. Its totient is φ = 36080640.

The previous prime is 150485393. The next prime is 150485449. The reversal of 150485400 is 4584051.

It is a super-2 number, since 2×1504854002 = 45291711226320000, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 1380546 + ... + 1380654.

Almost surely, 2150485400 is an apocalyptic number.

150485400 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 150485400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279279000).

150485400 is an abundant number, since it is smaller than the sum of its proper divisors (408072600).

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

150485400 is a wasteful number, since it uses less digits than its factorization.

150485400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 150485400 is about 12267.2490803766. The cubic root of 150485400 is about 531.9017946754.

The spelling of 150485400 in words is "one hundred fifty million, four hundred eighty-five thousand, four hundred".