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149974200 = 23335227773
BaseRepresentation
bin10001111000001…
…10110010111000
3101110012110221000
420330012302320
5301343133300
622514245000
73500521365
oct1074066270
9343173830
10149974200
1177724922
1242286760
13250c023c
1415cbd46c
15d276c00
hex8f06cb8

149974200 has 96 divisors (see below), whose sum is σ = 516596400. Its totient is φ = 39991680.

The previous prime is 149974157. The next prime is 149974211. The reversal of 149974200 is 2479941.

149974200 is a `hidden beast` number, since 149 + 97 + 420 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 8487 + ... + 19286.

Almost surely, 2149974200 is an apocalyptic number.

149974200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149974200 is an abundant number, since it is smaller than the sum of its proper divisors (366622200).

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

149974200 is a wasteful number, since it uses less digits than its factorization.

149974200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27798 (or 27783 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 149974200 is about 12246.3953880315. The cubic root of 149974200 is about 531.2988199656.

The spelling of 149974200 in words is "one hundred forty-nine million, nine hundred seventy-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 27773 55546 83319 111092 138865 166638 222184 249957 277730 333276 416595 499914 555460 666552 694325 749871 833190 999828 1110920 1249785 1388650 1499742 1666380 1999656 2082975 2499570 2777300 2999484 3332760 3749355 4165950 4999140 5554600 5998968 6248925 7498710 8331900 9998280 12497850 14997420 16663800 18746775 24995700 29994840 37493550 49991400 74987100 149974200