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11990976 = 263192173
BaseRepresentation
bin101101101111…
…011111000000
3211120012112020
4231233133000
511032202401
61105001440
7203631054
oct55573700
924505466
1011990976
11684aaa8
124023280
13263ab6a
141841c64
1510bcd36
hexb6f7c0

11990976 has 84 divisors (see below), whose sum is σ = 33677352. Its totient is φ = 3764736.

The previous prime is 11990971. The next prime is 11990987. The reversal of 11990976 is 67909911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11990971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69226 + ... + 69398.

Almost surely, 211990976 is an apocalyptic number.

11990976 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 11990976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16838676).

11990976 is an abundant number, since it is smaller than the sum of its proper divisors (21686376).

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

11990976 is a wasteful number, since it uses less digits than its factorization.

11990976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 42.

The square root of 11990976 is about 3462.7988679679. The cubic root of 11990976 is about 228.8854457786.

The spelling of 11990976 in words is "eleven million, nine hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 173 192 228 304 346 361 456 519 608 692 722 912 1038 1083 1216 1384 1444 1824 2076 2166 2768 2888 3287 3648 4152 4332 5536 5776 6574 8304 8664 9861 11072 11552 13148 16608 17328 19722 23104 26296 33216 34656 39444 52592 62453 69312 78888 105184 124906 157776 187359 210368 249812 315552 374718 499624 631104 749436 999248 1498872 1998496 2997744 3996992 5995488 11990976