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11139168 = 2531931197
BaseRepresentation
bin101010011111…
…100001100000
3202221221001210
4222133201200
510322423133
61034430120
7163452465
oct52374140
922857053
1011139168
116319027
123892340
132400231
14169d66c
15ea0763
hexa9f860

11139168 has 96 divisors (see below), whose sum is σ = 31933440. Its totient is φ = 3386880.

The previous prime is 11139157. The next prime is 11139173. The reversal of 11139168 is 86193111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56446 + ... + 56642.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 211139168 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 11139168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966720).

11139168 is an abundant number, since it is smaller than the sum of its proper divisors (20794272).

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

11139168 is a wasteful number, since it uses less digits than its factorization.

11139168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its digits is 1296, while the sum is 30.

The square root of 11139168 is about 3337.5392132528. The cubic root of 11139168 is about 223.3319808834.

The spelling of 11139168 in words is "eleven million, one hundred thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 197 228 248 304 372 394 456 496 589 591 608 744 788 912 992 1178 1182 1488 1576 1767 1824 2356 2364 2976 3152 3534 3743 4712 4728 6107 6304 7068 7486 9424 9456 11229 12214 14136 14972 18321 18848 18912 22458 24428 28272 29944 36642 44916 48856 56544 59888 73284 89832 97712 116033 119776 146568 179664 195424 232066 293136 348099 359328 464132 586272 696198 928264 1392396 1856528 2784792 3713056 5569584 11139168