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150750270 = 2325112109127
BaseRepresentation
bin10001111110001…
…00010000111110
3101111122220111100
420333010100332
5302043002040
622543033530
73510233106
oct1077042076
9344586440
10150750270
1178104a00
124259b8a6
1325302558
1416042206
15d37bb30
hex8fc443e

150750270 has 144 divisors (see below), whose sum is σ = 438197760. Its totient is φ = 35925120.

The previous prime is 150750263. The next prime is 150750307. The reversal of 150750270 is 72057051.

150750270 is a `hidden beast` number, since 150 + 7 + 502 + 7 + 0 = 666.

150750270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1186947 + ... + 1187073.

It is an arithmetic number, because the mean of its divisors is an integer number (3043040).

Almost surely, 2150750270 is an apocalyptic number.

150750270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150750270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219098880).

150750270 is an abundant number, since it is smaller than the sum of its proper divisors (287447490).

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

150750270 is a wasteful number, since it uses less digits than its factorization.

150750270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 150750270 is about 12278.0401530537. The cubic root of 150750270 is about 532.2136793096.

The spelling of 150750270 in words is "one hundred fifty million, seven hundred fifty thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 109 110 121 127 165 198 218 242 254 327 330 363 381 495 545 605 635 654 726 762 981 990 1089 1090 1143 1199 1210 1270 1397 1635 1815 1905 1962 2178 2286 2398 2794 3270 3597 3630 3810 4191 4905 5445 5715 5995 6985 7194 8382 9810 10791 10890 11430 11990 12573 13189 13843 13970 15367 17985 20955 21582 25146 26378 27686 30734 35970 39567 41529 41910 46101 53955 62865 65945 69215 76835 79134 83058 92202 107910 118701 124587 125730 131890 138303 138430 152273 153670 197835 207645 230505 237402 249174 276606 304546 395670 415290 456819 461010 593505 622935 691515 761365 913638 1187010 1245870 1370457 1383030 1522730 1675003 2284095 2740914 3350006 4568190 5025009 6852285 8375015 10050018 13704570 15075027 16750030 25125045 30150054 50250090 75375135 150750270