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150060672 = 2732130261
BaseRepresentation
bin10001111000110…
…11111010000000
3101110100212112200
420330123322000
5301403420142
622520153200
73501331446
oct1074337200
9343325480
10150060672
1177783893
1242308800
13251206c8
1415d02b96
15d29264c
hex8f1be80

150060672 has 48 divisors (see below), whose sum is σ = 431818530. Its totient is φ = 50019840.

The previous prime is 150060667. The next prime is 150060709. The reversal of 150060672 is 276060051.

150060672 is a `hidden beast` number, since 1 + 50 + 0 + 606 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 117158976 + 32901696 = 10824^2 + 5736^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 5 ways as a sum of consecutive naturals, for example, 63979 + ... + 66282.

Almost surely, 2150060672 is an apocalyptic number.

150060672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150060672 is an abundant number, since it is smaller than the sum of its proper divisors (281757858).

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

150060672 is a wasteful number, since it uses less digits than its factorization.

150060672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130281 (or 130266 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 150060672 is about 12249.9253875279. The cubic root of 150060672 is about 531.4009122912.

The spelling of 150060672 in words is "one hundred fifty million, sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 130261 260522 390783 521044 781566 1042088 1172349 1563132 2084176 2344698 3126264 4168352 4689396 6252528 8336704 9378792 12505056 16673408 18757584 25010112 37515168 50020224 75030336 150060672