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3966660 = 2232522037
BaseRepresentation
bin1111001000011011000100
321110112020100
433020123010
52003413120
6221004100
745500415
oct17103304
97415210
103966660
11226a235
1213b3630
13a8b649
1475380c
15535490
hex3c86c4

3966660 has 36 divisors (see below), whose sum is σ = 12032748. Its totient is φ = 1057728.

The previous prime is 3966631. The next prime is 3966689. The reversal of 3966660 is 666693.

It is an interprime number because it is at equal distance from previous prime (3966631) and next prime (3966689).

It can be written as a sum of positive squares in 2 ways, for example, as 876096 + 3090564 = 936^2 + 1758^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10839 + ... + 11198.

It is an arithmetic number, because the mean of its divisors is an integer number (334243).

Almost surely, 23966660 is an apocalyptic number.

3966660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3966660 is an abundant number, since it is smaller than the sum of its proper divisors (8066088).

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

3966660 is a wasteful number, since it uses less digits than its factorization.

3966660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22052 (or 22047 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3966660 is about 1991.6475591831. The cubic root of 3966660 is about 158.2978412290.

It can be divided in two parts, 396 and 6660, that added together give a square (7056 = 842).

The spelling of 3966660 in words is "three million, nine hundred sixty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 22037 44074 66111 88148 110185 132222 198333 220370 264444 330555 396666 440740 661110 793332 991665 1322220 1983330 3966660