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150470460 = 2235574423
BaseRepresentation
bin10001111011111…
…11111100111100
3101111010200200000
420331333330330
5302010023320
622533034300
73504656250
oct1075777474
9344120600
10150470460
1177a33758
1242485990
132523509a
1415dac260
15d323c90
hex8f7ff3c

150470460 has 144 divisors (see below), whose sum is σ = 541072896. Its totient is φ = 34385472.

The previous prime is 150470429. The next prime is 150470471. The reversal of 150470460 is 64074051.

150470460 is a `hidden beast` number, since 150 + 470 + 46 + 0 = 666.

It is a super-2 number, since 2×1504704602 = 45282718665223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31809 + ... + 36231.

Almost surely, 2150470460 is an apocalyptic number.

150470460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150470460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270536448).

150470460 is an abundant number, since it is smaller than the sum of its proper divisors (390602436).

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

150470460 is a wasteful number, since it uses less digits than its factorization.

150470460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 150470460 is about 12266.6401267829. The cubic root of 150470460 is about 531.8841919140.

The spelling of 150470460 in words is "one hundred fifty million, four hundred seventy thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3780 4423 4860 5670 6804 8505 8846 11340 13269 17010 17692 22115 26538 30961 34020 39807 44230 53076 61922 66345 79614 88460 92883 119421 123844 132690 154805 159228 185766 199035 238842 265380 278649 309610 358263 371532 398070 464415 477684 557298 597105 619220 716526 796140 835947 928830 1074789 1114596 1194210 1393245 1433052 1671894 1791315 1857660 2149578 2388420 2507841 2786490 3343788 3582630 4179735 4299156 5015682 5373945 5572980 7165260 7523523 8359470 10031364 10747890 12539205 15047046 16718940 21495780 25078410 30094092 37617615 50156820 75235230 150470460