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11897856 = 210321291
BaseRepresentation
bin101101011000…
…110000000000
3211101110210100
4231120300000
511021212411
61103002400
7203062425
oct55306000
924343710
1011897856
116797043
123b99400
132607669
141819d4c
1510a0456
hexb58c00

11897856 has 66 divisors (see below), whose sum is σ = 34381412. Its totient is φ = 3962880.

The previous prime is 11897849. The next prime is 11897861. The reversal of 11897856 is 65879811.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8571 + ... + 9861.

Almost surely, 211897856 is an apocalyptic number.

11897856 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 11897856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17190706).

11897856 is an abundant number, since it is smaller than the sum of its proper divisors (22483556).

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

11897856 is a wasteful number, since it uses less digits than its factorization.

11897856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1296 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 11897856 is about 3449.3268908586. The cubic root of 11897856 is about 228.2914094742.

It can be divided in two parts, 1189 and 7856, that added together give a triangular number (9045 = T134).

The spelling of 11897856 in words is "eleven million, eight hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1291 1536 2304 2582 3072 3873 4608 5164 7746 9216 10328 11619 15492 20656 23238 30984 41312 46476 61968 82624 92952 123936 165248 185904 247872 330496 371808 495744 660992 743616 991488 1321984 1487232 1982976 2974464 3965952 5948928 11897856