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150135296 = 291747367
BaseRepresentation
bin10001111001011…
…10001000000000
3101110111122220112
420330232020000
5301413312141
622521530452
73502062143
oct1074561000
9343448815
10150135296
1177824963
1242343a28
132514866c
1415d2205a
15d2a97eb
hex8f2e200

150135296 has 80 divisors (see below), whose sum is σ = 325264896. Its totient is φ = 68960256.

The previous prime is 150135269. The next prime is 150135299. The reversal of 150135296 is 692531051.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150135299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408905 + ... + 409271.

Almost surely, 2150135296 is an apocalyptic number.

150135296 is a gapful number since it is divisible by the number (16) 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 150135296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162632448).

150135296 is an abundant number, since it is smaller than the sum of its proper divisors (175129600).

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

150135296 is an equidigital number, since it uses as much as digits as its factorization.

150135296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 150135296 is about 12252.9709050499. The cubic root of 150135296 is about 531.4889848678.

The spelling of 150135296 in words is "one hundred fifty million, one hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 128 136 188 256 272 367 376 512 544 734 752 799 1088 1468 1504 1598 2176 2936 3008 3196 4352 5872 6016 6239 6392 8704 11744 12032 12478 12784 17249 23488 24064 24956 25568 34498 46976 49912 51136 68996 93952 99824 102272 137992 187904 199648 204544 275984 293233 399296 409088 551968 586466 798592 1103936 1172932 1597184 2207872 2345864 3194368 4415744 4691728 8831488 9383456 18766912 37533824 75067648 150135296