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149685900 = 223527135483
BaseRepresentation
bin10001110110000…
…00011010001100
3101102122211110020
420323000122030
5301304422100
622504142140
73465211020
oct1073003214
9342584406
10149685900
1177548261
1242167950
132501bc50
1415c46380
15d21b5a0
hex8ec068c

149685900 has 144 divisors (see below), whose sum is σ = 533132544. Its totient is φ = 31576320.

The previous prime is 149685853. The next prime is 149685911. The reversal of 149685900 is 9586941.

It is a super-3 number, since 3×1496859003 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24559 + ... + 30041.

Almost surely, 2149685900 is an apocalyptic number.

149685900 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 149685900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266566272).

149685900 is an abundant number, since it is smaller than the sum of its proper divisors (383446644).

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

149685900 is a wasteful number, since it uses less digits than its factorization.

149685900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 149685900 is about 12234.6189151931. The cubic root of 149685900 is about 530.9581575833.

The spelling of 149685900 in words is "one hundred forty-nine million, six hundred eighty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2275 2730 3900 4550 5460 5483 6825 9100 10966 13650 16449 21932 27300 27415 32898 38381 54830 65796 71279 76762 82245 109660 115143 137075 142558 153524 164490 191905 213837 230286 274150 285116 328980 356395 383810 411225 427674 460572 498953 548300 575715 712790 767620 822450 855348 959525 997906 1069185 1151430 1425580 1496859 1644900 1781975 1919050 1995812 2138370 2302860 2494765 2878575 2993718 3563950 3838100 4276740 4989530 5345925 5757150 5987436 7127900 7484295 9979060 10691850 11514300 12473825 14968590 21383700 24947650 29937180 37421475 49895300 74842950 149685900