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11996020 = 2255311317
BaseRepresentation
bin101101110000…
…101101110100
3211120110110001
4231300231310
511032333040
61105041044
7203651551
oct55605564
924513401
1011996020
116853873
124026184
13264024a
141843a28
1510be59a
hexb70b74

11996020 has 24 divisors (see below), whose sum is σ = 25669224. Its totient is φ = 4707456.

The previous prime is 11996009. The next prime is 11996021. The reversal of 11996020 is 2069911.

It can be written as a sum of positive squares in 4 ways, for example, as 5503716 + 6492304 = 2346^2 + 2548^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11996020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11996021) 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 7 ways as a sum of consecutive naturals, for example, 4599 + ... + 6718.

It is an arithmetic number, because the mean of its divisors is an integer number (1069551).

Almost surely, 211996020 is an apocalyptic number.

11996020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11996020 is an abundant number, since it is smaller than the sum of its proper divisors (13673204).

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

11996020 is a wasteful number, since it uses less digits than its factorization.

11996020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11379 (or 11377 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 11996020 is about 3463.5271039794. The cubic root of 11996020 is about 228.9175348081.

The spelling of 11996020 in words is "eleven million, nine hundred ninety-six thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 11317 22634 45268 56585 113170 226340 599801 1199602 2399204 2999005 5998010 11996020