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150848640 = 2732526189
BaseRepresentation
bin10001111110111…
…00010010000000
3101111211220102200
420333130102000
5302104124030
622545113200
73511122645
oct1077342200
9344756380
10150848640
11781718a8
1242628800
1325338267
1416069dcc
15d39ad60
hex8fdc480

150848640 has 96 divisors (see below), whose sum is σ = 520919100. Its totient is φ = 40224768.

The previous prime is 150848629. The next prime is 150848671. The reversal of 150848640 is 46848051.

150848640 is a `hidden beast` number, since 1 + 5 + 0 + 8 + 4 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 149230656 + 1617984 = 12216^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 150848595 and 150848604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7335 + ... + 18854.

Almost surely, 2150848640 is an apocalyptic number.

150848640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150848640 is an abundant number, since it is smaller than the sum of its proper divisors (370070460).

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

150848640 is a wasteful number, since it uses less digits than its factorization.

150848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26214 (or 26199 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 150848640 is about 12282.0454322560. The cubic root of 150848640 is about 532.3294170263.

The spelling of 150848640 in words is "one hundred fifty million, eight hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 26189 52378 78567 104756 130945 157134 209512 235701 261890 314268 392835 419024 471402 523780 628536 785670 838048 942804 1047560 1178505 1257072 1571340 1676096 1885608 2095120 2357010 2514144 3142680 3352192 3771216 4190240 4714020 5028288 6285360 7542432 8380480 9428040 10056576 12570720 15084864 16760960 18856080 25141440 30169728 37712160 50282880 75424320 150848640