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3900132 = 2232131827
BaseRepresentation
bin1110111000001011100100
321100010222100
432320023210
51444301012
6215332100
745102435
oct16701344
97303870
103900132
112224255
121381030
13a67292
1473748c
155208dc
hex3b82e4

3900132 has 36 divisors (see below), whose sum is σ = 9945936. Its totient is φ = 1288560.

The previous prime is 3900131. The next prime is 3900167. The reversal of 3900132 is 2310093.

3900132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×39001322 = 30422059234848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3900131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4303 + ... + 5129.

It is an arithmetic number, because the mean of its divisors is an integer number (276276).

Almost surely, 23900132 is an apocalyptic number.

It is an amenable number.

3900132 is an abundant number, since it is smaller than the sum of its proper divisors (6045804).

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

3900132 is a wasteful number, since it uses less digits than its factorization.

3900132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3900132 is about 1974.8751859295. The cubic root of 3900132 is about 157.4078675067.

The spelling of 3900132 in words is "three million, nine hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 827 1179 1572 1654 2358 2481 3308 4716 4962 7443 9924 14886 29772 108337 216674 325011 433348 650022 975033 1300044 1950066 3900132