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150520400 = 24521272963
BaseRepresentation
bin10001111100011…
…00001001010000
3101111020020011122
420332030021100
5302013123100
622534101412
73505254662
oct1076141120
9344206148
10150520400
1177a68228
12424aa868
1325251a34
1415dc2532
15d333985
hex8f8c250

150520400 has 60 divisors (see below), whose sum is σ = 364595712. Its totient is φ = 59713920.

The previous prime is 150520361. The next prime is 150520421. The reversal of 150520400 is 4025051.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 49319 + ... + 52281.

Almost surely, 2150520400 is an apocalyptic number.

150520400 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 150520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182297856).

150520400 is an abundant number, since it is smaller than the sum of its proper divisors (214075312).

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

150520400 is a wasteful number, since it uses less digits than its factorization.

150520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 150520400 is about 12268.6755601410. The cubic root of 150520400 is about 531.9430281765.

Adding to 150520400 its reverse (4025051), we get a palindrome (154545451).

The spelling of 150520400 in words is "one hundred fifty million, five hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 127 200 254 400 508 635 1016 1270 2032 2540 2963 3175 5080 5926 6350 10160 11852 12700 14815 23704 25400 29630 47408 50800 59260 74075 118520 148150 237040 296300 376301 592600 752602 1185200 1505204 1881505 3010408 3763010 6020816 7526020 9407525 15052040 18815050 30104080 37630100 75260200 150520400