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149892520 = 235191671181
BaseRepresentation
bin10001110111100…
…10110110101000
3101110001022212211
420323302312220
5301333030040
622512414504
73500031301
oct1073626650
9343038784
10149892520
1177679518
1242247434
1325091ccb
1415c9b7a8
15d25c8ea
hex8ef2da8

149892520 has 64 divisors (see below), whose sum is σ = 357436800. Its totient is φ = 56413440.

The previous prime is 149892497. The next prime is 149892521. The reversal of 149892520 is 25298941.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (149892521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126330 + ... + 127510.

It is an arithmetic number, because the mean of its divisors is an integer number (5584950).

Almost surely, 2149892520 is an apocalyptic number.

149892520 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 149892520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178718400).

149892520 is an abundant number, since it is smaller than the sum of its proper divisors (207544280).

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

149892520 is a wasteful number, since it uses less digits than its factorization.

149892520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 149892520 is about 12243.0600749976. The cubic root of 149892520 is about 531.2023492209.

The spelling of 149892520 in words is "one hundred forty-nine million, eight hundred ninety-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 167 190 334 380 668 760 835 1181 1336 1670 2362 3173 3340 4724 5905 6346 6680 9448 11810 12692 15865 22439 23620 25384 31730 44878 47240 63460 89756 112195 126920 179512 197227 224390 394454 448780 788908 897560 986135 1577816 1972270 3747313 3944540 7494626 7889080 14989252 18736565 29978504 37473130 74946260 149892520