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149772160 = 275317549
BaseRepresentation
bin10001110110101…
…01011110000000
3101102211012210001
420323111132000
5301320202120
622510045344
73466020346
oct1073253600
9342735701
10149772160
11775a704a
12421a9854
132504c2a5
1415c69996
15d236e0a
hex8ed5780

149772160 has 64 divisors (see below), whose sum is σ = 369648000. Its totient is φ = 57968640.

The previous prime is 149772151. The next prime is 149772209. The reversal of 149772160 is 61277941.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1497721602 = 44863399822131200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16066 + ... + 23614.

It is an arithmetic number, because the mean of its divisors is an integer number (5775750).

Almost surely, 2149772160 is an apocalyptic number.

149772160 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 149772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184824000).

149772160 is an abundant number, since it is smaller than the sum of its proper divisors (219875840).

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

149772160 is an equidigital number, since it uses as much as digits as its factorization.

149772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7599 (or 7587 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 149772160 is about 12238.1436500803. The cubic root of 149772160 is about 531.0601303490.

The spelling of 149772160 in words is "one hundred forty-nine million, seven hundred seventy-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 7549 9920 15098 19840 30196 37745 60392 75490 120784 150980 234019 241568 301960 468038 483136 603920 936076 966272 1170095 1207840 1872152 2340190 2415680 3744304 4680380 4831360 7488608 9360760 14977216 18721520 29954432 37443040 74886080 149772160