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150661264 = 24132924977
BaseRepresentation
bin10001111101011…
…10100010010000
3101111111101101211
420332232202100
5302032130024
622541105504
73506412445
oct1076564220
9344441354
10150661264
1178054046
1242558294
13252a0ba0
141601b9cc
15d360594
hex8fae890

150661264 has 40 divisors (see below), whose sum is σ = 325213560. Its totient is φ = 67135488.

The previous prime is 150661261. The next prime is 150661267. The reversal of 150661264 is 462166051.

It is an interprime number because it is at equal distance from previous prime (150661261) and next prime (150661267).

It can be written as a sum of positive squares in 4 ways, for example, as 2016400 + 148644864 = 1420^2 + 12192^2 .

It is not an unprimeable number, because it can be changed into a prime (150661261) 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 7 ways as a sum of consecutive naturals, for example, 6457 + ... + 18520.

It is an arithmetic number, because the mean of its divisors is an integer number (8130339).

Almost surely, 2150661264 is an apocalyptic number.

It is an amenable number.

150661264 is an abundant number, since it is smaller than the sum of its proper divisors (174552296).

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

150661264 is a wasteful number, since it uses less digits than its factorization.

150661264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25027 (or 25021 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 150661264 is about 12274.4150166108. The cubic root of 150661264 is about 532.1089154583.

The spelling of 150661264 in words is "one hundred fifty million, six hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 24977 49954 99908 199816 324701 399632 649402 724333 1298804 1448666 2597608 2897332 5195216 5794664 9416329 11589328 18832658 37665316 75330632 150661264