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149352120 = 23335138289
BaseRepresentation
bin10001110011011…
…10111010111000
3101102000212121000
420321232322320
5301213231440
622453045000
73462320631
oct1071567270
9342025530
10149352120
117733a505
1242026760
1324c33048
1415b9a888
15d1a2730
hex8e6eeb8

149352120 has 64 divisors (see below), whose sum is σ = 497844000. Its totient is φ = 39826944.

The previous prime is 149352113. The next prime is 149352139. The reversal of 149352120 is 21253941.

149352120 is a `hidden beast` number, since 1 + 493 + 52 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68065 + ... + 70224.

Almost surely, 2149352120 is an apocalyptic number.

149352120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149352120 is an abundant number, since it is smaller than the sum of its proper divisors (348491880).

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

149352120 is a wasteful number, since it uses less digits than its factorization.

149352120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138309 (or 138299 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 149352120 is about 12220.9705015600. The cubic root of 149352120 is about 530.5632081025.

The spelling of 149352120 in words is "one hundred forty-nine million, three hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 138289 276578 414867 553156 691445 829734 1106312 1244601 1382890 1659468 2074335 2489202 2765780 3318936 3733803 4148670 4978404 5531560 6223005 7467606 8297340 9956808 12446010 14935212 16594680 18669015 24892020 29870424 37338030 49784040 74676060 149352120