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149085900 = 22335255217
BaseRepresentation
bin10001110001011…
…01111011001100
3101101112100102000
420320231323030
5301131222100
622443232300
73460131525
oct1070557314
9341470360
10149085900
1177178497
1241b18690
1324b6bb12
1415b2b84c
15d14d900
hex8e2decc

149085900 has 72 divisors (see below), whose sum is σ = 479292240. Its totient is φ = 39755520.

The previous prime is 149085889. The next prime is 149085901. The reversal of 149085900 is 9580941.

149085900 is a `hidden beast` number, since 1 + 490 + 85 + 90 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (149085901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24909 + ... + 30308.

Almost surely, 2149085900 is an apocalyptic number.

149085900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149085900 is an abundant number, since it is smaller than the sum of its proper divisors (330206340).

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

149085900 is a wasteful number, since it uses less digits than its factorization.

149085900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55240 (or 55227 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 149085900 is about 12210.0737098512. The cubic root of 149085900 is about 530.2477778196.

The spelling of 149085900 in words is "one hundred forty-nine million, eighty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 55217 110434 165651 220868 276085 331302 496953 552170 662604 828255 993906 1104340 1380425 1490859 1656510 1987812 2484765 2760850 2981718 3313020 4141275 4969530 5521700 5963436 7454295 8282550 9939060 12423825 14908590 16565100 24847650 29817180 37271475 49695300 74542950 149085900