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11393616 = 2431319312
BaseRepresentation
bin101011011101…
…101001010000
3210102212002210
4223131221100
510404043431
61044112120
7165562353
oct53355120
923385083
1011393616
116482213
123995640
13248bcb0
14172829a
151000d46
hexadda50

11393616 has 120 divisors (see below), whose sum is σ = 34476960. Its totient is φ = 3214080.

The previous prime is 11393611. The next prime is 11393623. The reversal of 11393616 is 61639311.

11393616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11393611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367521 + ... + 367551.

It is an arithmetic number, because the mean of its divisors is an integer number (287308).

Almost surely, 211393616 is an apocalyptic number.

11393616 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 11393616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17238480).

11393616 is an abundant number, since it is smaller than the sum of its proper divisors (23083344).

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

11393616 is a wasteful number, since it uses less digits than its factorization.

11393616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 68 counting only the distinct ones).

The product of its digits is 2916, while the sum is 30.

The square root of 11393616 is about 3375.4430820264. The cubic root of 11393616 is about 225.0196921036.

The spelling of 11393616 in words is "eleven million, three hundred ninety-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 31 38 39 48 52 57 62 76 78 93 104 114 124 152 156 186 208 228 247 248 304 312 372 403 456 494 496 589 624 741 744 806 912 961 988 1178 1209 1482 1488 1612 1767 1922 1976 2356 2418 2883 2964 3224 3534 3844 3952 4712 4836 5766 5928 6448 7068 7657 7688 9424 9672 11532 11856 12493 14136 15314 15376 18259 19344 22971 23064 24986 28272 30628 36518 37479 45942 46128 49972 54777 61256 73036 74958 91884 99944 109554 122512 146072 149916 183768 199888 219108 237367 292144 299832 367536 438216 474734 599664 712101 876432 949468 1424202 1898936 2848404 3797872 5696808 11393616