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11396352 = 283111971
BaseRepresentation
bin101011011110…
…010100000000
3210102222212010
4223132110000
510404140402
61044132520
7165603342
oct53362400
923388763
1011396352
116484280
123997140
132490306
141729292
151001a6c
hexade500

11396352 has 144 divisors (see below), whose sum is σ = 35320320. Its totient is φ = 3225600.

The previous prime is 11396351. The next prime is 11396369. The reversal of 11396352 is 25369311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11396351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160477 + ... + 160547.

It is an arithmetic number, because the mean of its divisors is an integer number (245280).

Almost surely, 211396352 is an apocalyptic number.

11396352 is a gapful number since it is divisible by the number (12) 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 11396352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17660160).

11396352 is an abundant number, since it is smaller than the sum of its proper divisors (23923968).

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

11396352 is a wasteful number, since it uses less digits than its factorization.

11396352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 11396352 is about 3375.8483378256. The cubic root of 11396352 is about 225.0377023240.

The spelling of 11396352 in words is "eleven million, three hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 71 76 88 96 114 128 132 142 152 176 192 209 213 228 256 264 284 304 352 384 418 426 456 528 568 608 627 704 768 781 836 852 912 1056 1136 1216 1254 1349 1408 1562 1672 1704 1824 2112 2272 2343 2432 2508 2698 2816 3124 3344 3408 3648 4047 4224 4544 4686 4864 5016 5396 6248 6688 6816 7296 8094 8448 9088 9372 10032 10792 12496 13376 13632 14592 14839 16188 18176 18744 20064 21584 24992 26752 27264 29678 32376 37488 40128 43168 44517 49984 53504 54528 59356 64752 74976 80256 86336 89034 99968 118712 129504 149952 160512 172672 178068 199936 237424 259008 299904 345344 356136 474848 518016 599808 712272 949696 1036032 1424544 1899392 2849088 3798784 5698176 11396352