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11973672 = 2332166301
BaseRepresentation
bin101101101011…
…010000101000
3211112022210100
4231223100220
511031124142
61104345400
7203526444
oct55532050
924468710
1011973672
116838aa7
124015260
132633019
141839824
1510b7b4c
hexb6b428

11973672 has 24 divisors (see below), whose sum is σ = 32428890. Its totient is φ = 3991200.

The previous prime is 11973659. The next prime is 11973677. The reversal of 11973672 is 27637911.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11737476 + 236196 = 3426^2 + 486^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (11973677) 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 5 ways as a sum of consecutive naturals, for example, 83079 + ... + 83222.

Almost surely, 211973672 is an apocalyptic number.

11973672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11973672 is an abundant number, since it is smaller than the sum of its proper divisors (20455218).

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

11973672 is a wasteful number, since it uses less digits than its factorization.

11973672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166313 (or 166306 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 11973672 is about 3460.2994090107. The cubic root of 11973672 is about 228.7752923749.

The spelling of 11973672 in words is "eleven million, nine hundred seventy-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 166301 332602 498903 665204 997806 1330408 1496709 1995612 2993418 3991224 5986836 11973672