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150894144 = 263387323
BaseRepresentation
bin10001111111001…
…11011001000000
3101111221012212000
420333213121000
5302112103034
622550104000
73511402422
oct1077473100
9344835760
10150894144
11781a3005
124264b000
1325352b9b
141607c812
15d3a9599
hex8fe7640

150894144 has 56 divisors (see below), whose sum is σ = 443605920. Its totient is φ = 50297472.

The previous prime is 150894131. The next prime is 150894167. The reversal of 150894144 is 441498051.

150894144 is a `hidden beast` number, since 1 + 508 + 9 + 4 + 144 = 666.

150894144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 150894099 and 150894108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41934 + ... + 45389.

Almost surely, 2150894144 is an apocalyptic number.

It is an amenable number.

150894144 is an abundant number, since it is smaller than the sum of its proper divisors (292711776).

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

150894144 is an equidigital number, since it uses as much as digits as its factorization.

150894144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87344 (or 87328 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 150894144 is about 12283.8977527493. The cubic root of 150894144 is about 532.3829379653.

The spelling of 150894144 in words is "one hundred fifty million, eight hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 87323 174646 261969 349292 523938 698584 785907 1047876 1397168 1571814 2095752 2357721 2794336 3143628 4191504 4715442 5588672 6287256 8383008 9430884 12574512 16766016 18861768 25149024 37723536 50298048 75447072 150894144