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11972808 = 2332166289
BaseRepresentation
bin101101101011…
…000011001000
3211112021121100
4231223003020
511031112213
61104341400
7203524101
oct55530310
924467540
1011972808
116838391
124014860
132632803
1418393a8
1510b7773
hexb6b0c8

11972808 has 24 divisors (see below), whose sum is σ = 32426550. Its totient is φ = 3990912.

The previous prime is 11972783. The next prime is 11972837. The reversal of 11972808 is 80827911.

It can be written as a sum of positive squares in only one way, i.e., 9847044 + 2125764 = 3138^2 + 1458^2 .

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 an unprimeable number.

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, 83073 + ... + 83216.

Almost surely, 211972808 is an apocalyptic number.

11972808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11972808 is an abundant number, since it is smaller than the sum of its proper divisors (20453742).

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

11972808 is a wasteful number, since it uses less digits than its factorization.

11972808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166301 (or 166294 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 11972808 is about 3460.1745620705. The cubic root of 11972808 is about 228.7697895627.

It can be divided in two parts, 1197 and 2808, that added together give a triangular number (4005 = T89).

The spelling of 11972808 in words is "eleven million, nine hundred seventy-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 166289 332578 498867 665156 997734 1330312 1496601 1995468 2993202 3990936 5986404 11972808