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11630496 = 253121151
BaseRepresentation
bin101100010111…
…011110100000
3210212220001010
4230113132200
510434133441
61053140520
7200600103
oct54273640
923786033
1011630496
116624189
123a8a740
132542a67
14178a73a
15104b116
hexb177a0

11630496 has 24 divisors (see below), whose sum is σ = 30530304. Its totient is φ = 3876800.

The previous prime is 11630491. The next prime is 11630497. The reversal of 11630496 is 69403611.

11630496 is digitally balanced in base 2 and base 4, because in such bases 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 (24).

It is not an unprimeable number, because it can be changed into a prime (11630491) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60480 + ... + 60671.

It is an arithmetic number, because the mean of its divisors is an integer number (1272096).

Almost surely, 211630496 is an apocalyptic number.

11630496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11630496 is an abundant number, since it is smaller than the sum of its proper divisors (18899808).

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

11630496 is a wasteful number, since it uses less digits than its factorization.

11630496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121164 (or 121156 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 11630496 is about 3410.3513015524. The cubic root of 11630496 is about 226.5684387916.

The spelling of 11630496 in words is "eleven million, six hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 121151 242302 363453 484604 726906 969208 1453812 1938416 2907624 3876832 5815248 11630496