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149348880 = 2433569143
BaseRepresentation
bin10001110011011…
…10001000010000
3101102000201011000
420321232020100
5301213131010
622453022000
73462305322
oct1071561020
9342021130
10149348880
117733802a
1242024900
1324c31725
1415b99612
15d1a17c0
hex8e6e210

149348880 has 80 divisors (see below), whose sum is σ = 514431360. Its totient is φ = 39825792.

The previous prime is 149348879. The next prime is 149348887. The reversal of 149348880 is 88843941.

149348880 is a `hidden beast` number, since 1 + 4 + 93 + 488 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (149348887) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32412 + ... + 36731.

It is an arithmetic number, because the mean of its divisors is an integer number (6430392).

Almost surely, 2149348880 is an apocalyptic number.

149348880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149348880 is an abundant number, since it is smaller than the sum of its proper divisors (365082480).

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

149348880 is a wasteful number, since it uses less digits than its factorization.

149348880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69165 (or 69153 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 149348880 is about 12220.8379418107. The cubic root of 149348880 is about 530.5593714485.

The spelling of 149348880 in words is "one hundred forty-nine million, three hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 69143 138286 207429 276572 345715 414858 553144 622287 691430 829716 1037145 1106288 1244574 1382860 1659432 1866861 2074290 2489148 2765720 3111435 3318864 3733722 4148580 4978296 5531440 6222870 7467444 8297160 9334305 9956592 12445740 14934888 16594320 18668610 24891480 29869776 37337220 49782960 74674440 149348880