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11196416 = 21171171
BaseRepresentation
bin101010101101…
…100000000000
3210001211121002
4222231200000
510331241131
61035551132
7164111420
oct52554000
923054532
1011196416
116358040
1238bb4a8
1324202ca
1416b6480
15eb26cb
hexaad800

11196416 has 96 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 4300800.

The previous prime is 11196413. The next prime is 11196443. The reversal of 11196416 is 61469111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11196413) 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, 157661 + ... + 157731.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 211196416 is an apocalyptic number.

11196416 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 11196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

11196416 is an abundant number, since it is smaller than the sum of its proper divisors (17108224).

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

11196416 is an equidigital number, since it uses as much as digits as its factorization.

11196416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

The product of its digits is 1296, while the sum is 29.

The square root of 11196416 is about 3346.1046008755. The cubic root of 11196416 is about 223.7139205061.

The spelling of 11196416 in words is "eleven million, one hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 71 77 88 112 128 142 154 176 224 256 284 308 352 448 497 512 568 616 704 781 896 994 1024 1136 1232 1408 1562 1792 1988 2048 2272 2464 2816 3124 3584 3976 4544 4928 5467 5632 6248 7168 7952 9088 9856 10934 11264 12496 14336 15904 18176 19712 21868 22528 24992 31808 36352 39424 43736 49984 63616 72704 78848 87472 99968 127232 145408 157696 174944 199936 254464 349888 399872 508928 699776 799744 1017856 1399552 1599488 2799104 5598208 11196416