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149106912 = 2538831759
BaseRepresentation
bin10001110001100…
…11000011100000
3101101120102020020
420320303003200
5301132410122
622443513440
73460250013
oct1070630340
9341512206
10149106912
1177192259
1241b28880
1324b78556
1415b3537a
15d154c5c
hex8e330e0

149106912 has 48 divisors (see below), whose sum is σ = 392071680. Its totient is φ = 49617792.

The previous prime is 149106899. The next prime is 149106977. The reversal of 149106912 is 219601941.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 83889 + ... + 85647.

It is an arithmetic number, because the mean of its divisors is an integer number (8168160).

Almost surely, 2149106912 is an apocalyptic number.

149106912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149106912 is an abundant number, since it is smaller than the sum of its proper divisors (242964768).

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

149106912 is a wasteful number, since it uses less digits than its factorization.

149106912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 149106912 is about 12210.9341166022. The cubic root of 149106912 is about 530.2726874923.

The spelling of 149106912 in words is "one hundred forty-nine million, one hundred six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 883 1759 1766 2649 3518 3532 5277 5298 7036 7064 10554 10596 14072 14128 21108 21192 28144 28256 42216 42384 56288 84432 84768 168864 1553197 3106394 4659591 6212788 9319182 12425576 18638364 24851152 37276728 49702304 74553456 149106912