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149351940 = 22325829733
BaseRepresentation
bin10001110011011…
…10111000000100
3101102000212100100
420321232320010
5301213230230
622453044100
73462320253
oct1071567004
9342025310
10149351940
117733a361
1242026630
1324c32c3a
1415b9a79a
15d1a2660
hex8e6ee04

149351940 has 36 divisors (see below), whose sum is σ = 453034764. Its totient is φ = 39827136.

The previous prime is 149351929. The next prime is 149351959. The reversal of 149351940 is 49153941.

It is a happy number.

149351940 is a `hidden beast` number, since 14 + 93 + 519 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101243844 + 48108096 = 10062^2 + 6936^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 149351895 and 149351904.

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 11 ways as a sum of consecutive naturals, for example, 414687 + ... + 415046.

It is an arithmetic number, because the mean of its divisors is an integer number (12584299).

Almost surely, 2149351940 is an apocalyptic number.

149351940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149351940 is an abundant number, since it is smaller than the sum of its proper divisors (303682824).

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

149351940 is a wasteful number, since it uses less digits than its factorization.

149351940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829748 (or 829743 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 149351940 is about 12220.9631371672. The cubic root of 149351940 is about 530.5629949565.

The spelling of 149351940 in words is "one hundred forty-nine million, three hundred fifty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 829733 1659466 2489199 3318932 4148665 4978398 7467597 8297330 9956796 12445995 14935194 16594660 24891990 29870388 37337985 49783980 74675970 149351940