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150232400 = 24521722093
BaseRepresentation
bin10001111010001…
…01110101010000
3101110200121002222
420331011311100
5301424414100
622524000212
73502645223
oct1075056520
9343617088
10150232400
117789090a
1242390068
1325180916
1415d495ba
15d2c8485
hex8f45d50

150232400 has 60 divisors (see below), whose sum is σ = 382182012. Its totient is φ = 56555520.

The previous prime is 150232367. The next prime is 150232403. The reversal of 150232400 is 4232051.

150232400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9193024 + 141039376 = 3032^2 + 11876^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150232403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4247 + ... + 17846.

Almost surely, 2150232400 is an apocalyptic number.

150232400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150232400 is an abundant number, since it is smaller than the sum of its proper divisors (231949612).

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

150232400 is a wasteful number, since it uses less digits than its factorization.

150232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22128 (or 22117 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 150232400 is about 12256.9327321316. The cubic root of 150232400 is about 531.6035450569.

Adding to 150232400 its reverse (4232051), we get a palindrome (154464451).

The spelling of 150232400 in words is "one hundred fifty million, two hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 22093 44186 88372 110465 176744 220930 353488 375581 441860 552325 751162 883720 1104650 1502324 1767440 1877905 2209300 3004648 3755810 4418600 6009296 7511620 8837200 9389525 15023240 18779050 30046480 37558100 75116200 150232400