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11539968 = 29311683
BaseRepresentation
bin101100000001…
…011000000000
3210201021212020
4230001120000
510423234333
61051201440
7200042136
oct54013000
923637766
1011539968
116572170
123a46280
1325107ab
141765756
15102e3b3
hexb01600

11539968 has 80 divisors (see below), whose sum is σ = 33587136. Its totient is φ = 3491840.

The previous prime is 11539963. The next prime is 11539981. The reversal of 11539968 is 86993511.

It is a super-2 number, since 2×115399682 = 266341722882048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11539961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16555 + ... + 17237.

Almost surely, 211539968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11539968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793568).

11539968 is an abundant number, since it is smaller than the sum of its proper divisors (22047168).

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

11539968 is an equidigital number, since it uses as much as digits as its factorization.

11539968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 699 counting only the distinct ones).

The product of its digits is 58320, while the sum is 42.

The square root of 11539968 is about 3397.0528403309. The cubic root of 11539968 is about 225.9790619389.

The spelling of 11539968 in words is "eleven million, five hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 683 704 768 1056 1366 1408 1536 2049 2112 2732 2816 4098 4224 5464 5632 7513 8196 8448 10928 15026 16392 16896 21856 22539 30052 32784 43712 45078 60104 65568 87424 90156 120208 131136 174848 180312 240416 262272 349696 360624 480832 524544 721248 961664 1049088 1442496 1923328 2884992 3846656 5769984 11539968