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149087772 = 223219732099
BaseRepresentation
bin10001110001011…
…10011000011100
3101101112102222100
420320232120130
5301131302042
622443245100
73460140141
oct1070563034
9341472870
10149087772
1177179939
1241b19790
1324b6c922
1415b2c3c8
15d14e24c
hex8e2e61c

149087772 has 36 divisors (see below), whose sum is σ = 377231400. Its totient is φ = 49647072.

The previous prime is 149087759. The next prime is 149087777. The reversal of 149087772 is 277780941.

It is a happy number.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149087777) by changing a digit.

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, 69979 + ... + 72077.

It is an arithmetic number, because the mean of its divisors is an integer number (10478650).

Almost surely, 2149087772 is an apocalyptic number.

149087772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149087772 is an abundant number, since it is smaller than the sum of its proper divisors (228143628).

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

149087772 is a wasteful number, since it uses less digits than its factorization.

149087772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 149087772 is about 12210.1503676245. The cubic root of 149087772 is about 530.2499971658.

The spelling of 149087772 in words is "one hundred forty-nine million, eighty-seven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 1973 2099 3946 4198 5919 6297 7892 8396 11838 12594 17757 18891 23676 25188 35514 37782 71028 75564 4141327 8282654 12423981 16565308 24847962 37271943 49695924 74543886 149087772