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11696976 = 2432292801
BaseRepresentation
bin101100100111…
…101101010000
3211000021020100
4230213231100
510443300401
61054412400
7201264654
oct54475520
924007210
1011696976
11666a125
123b01100
1325670b5
1417a6a64
151060b86
hexb27b50

11696976 has 60 divisors (see below), whose sum is σ = 33876180. Its totient is φ = 3763200.

The previous prime is 11696963. The next prime is 11696981. The reversal of 11696976 is 67969611.

11696976 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 can be written as a sum of positive squares in 2 ways, for example, as 6051600 + 5645376 = 2460^2 + 2376^2 .

It is a congruent number.

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, 2776 + ... + 5576.

It is an arithmetic number, because the mean of its divisors is an integer number (564603).

Almost surely, 211696976 is an apocalyptic number.

11696976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11696976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16938090).

11696976 is an abundant number, since it is smaller than the sum of its proper divisors (22179204).

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

11696976 is a wasteful number, since it uses less digits than its factorization.

11696976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2835 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 11696976 is about 3420.0842094896. The cubic root of 11696976 is about 226.9993078310. Note that the first 3 decimals are identical.

The spelling of 11696976 in words is "eleven million, six hundred ninety-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 2801 4176 5602 8403 11204 16806 22408 25209 33612 44816 50418 67224 81229 100836 134448 162458 201672 243687 324916 403344 487374 649832 731061 974748 1299664 1462122 1949496 2924244 3898992 5848488 11696976