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150938640 = 2434523293
BaseRepresentation
bin10001111111100…
…10010000010000
3101112000110220000
420333302100100
5302120014030
622551050000
73511646226
oct1077622020
9345013800
10150938640
1178223486
1242670900
132536a208
1416090b16
15d3b7860
hex8ff2410

150938640 has 100 divisors (see below), whose sum is σ = 524254764. Its totient is φ = 40248576.

The previous prime is 150938629. The next prime is 150938653. The reversal of 150938640 is 46839051.

150938640 is a `hidden beast` number, since 1 + 5 + 0 + 9 + 3 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23970816 + 126967824 = 4896^2 + 11268^2 .

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 = 150938595 and 150938604.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5167 + ... + 18126.

Almost surely, 2150938640 is an apocalyptic number.

150938640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150938640 is an abundant number, since it is smaller than the sum of its proper divisors (373316124).

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

150938640 is a wasteful number, since it uses less digits than its factorization.

150938640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23318 (or 23303 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 150938640 is about 12285.7087707629. The cubic root of 150938640 is about 532.4352629097.

The spelling of 150938640 in words is "one hundred fifty million, nine hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 23293 46586 69879 93172 116465 139758 186344 209637 232930 279516 349395 372688 419274 465860 559032 628911 698790 838548 931720 1048185 1118064 1257822 1397580 1677096 1863440 1886733 2096370 2515644 2795160 3144555 3354192 3773466 4192740 5031288 5590320 6289110 7546932 8385480 9433665 10062576 12578220 15093864 16770960 18867330 25156440 30187728 37734660 50312880 75469320 150938640