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149175120 = 243537107157
BaseRepresentation
bin10001110010000…
…11101101010000
3101101200212210110
420321003231100
5301142100440
622445201320
73460652613
oct1071035520
9341625713
10149175120
1177229526
1241b60240
1324ba0603
1415b5217a
15d16a080
hex8e43b50

149175120 has 160 divisors (see below), whose sum is σ = 482433408. Its totient is φ = 38098944.

The previous prime is 149175113. The next prime is 149175121. The reversal of 149175120 is 21571941.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149175121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 950082 + ... + 950238.

Almost surely, 2149175120 is an apocalyptic number.

149175120 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 149175120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241216704).

149175120 is an abundant number, since it is smaller than the sum of its proper divisors (333258288).

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

149175120 is a wasteful number, since it uses less digits than its factorization.

149175120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 149175120 is about 12213.7267039999. The cubic root of 149175120 is about 530.3535317789.

The spelling of 149175120 in words is "one hundred forty-nine million, one hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 107 111 120 148 157 185 214 222 240 296 314 321 370 428 444 471 535 555 592 628 642 740 785 856 888 942 1070 1110 1256 1284 1480 1570 1605 1712 1776 1884 2140 2220 2355 2512 2568 2960 3140 3210 3768 3959 4280 4440 4710 5136 5809 6280 6420 7536 7918 8560 8880 9420 11618 11877 12560 12840 15836 16799 17427 18840 19795 23236 23754 25680 29045 31672 33598 34854 37680 39590 46472 47508 50397 58090 59385 63344 67196 69708 79180 83995 87135 92944 95016 100794 116180 118770 134392 139416 158360 167990 174270 190032 201588 232360 237540 251985 268784 278832 316720 335980 348540 403176 464720 475080 503970 621563 671960 697080 806352 950160 1007940 1243126 1343920 1394160 1864689 2015880 2486252 3107815 3729378 4031760 4972504 6215630 7458756 9323445 9945008 12431260 14917512 18646890 24862520 29835024 37293780 49725040 74587560 149175120