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11396736 = 273213761
BaseRepresentation
bin101011011110…
…011010000000
3210110000101100
4223132122000
510404143421
61044134400
7165604431
oct53363200
923400340
1011396736
11648459a
123997400
132490540
141729488
151001c26
hexade680

11396736 has 96 divisors (see below), whose sum is σ = 35364420. Its totient is φ = 3502080.

The previous prime is 11396699. The next prime is 11396741. The reversal of 11396736 is 63769311.

It can be written as a sum of positive squares in 2 ways, for example, as 8156736 + 3240000 = 2856^2 + 1800^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11396736.

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 11 ways as a sum of consecutive naturals, for example, 14596 + ... + 15356.

Almost surely, 211396736 is an apocalyptic number.

11396736 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 11396736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17682210).

11396736 is an abundant number, since it is smaller than the sum of its proper divisors (23967684).

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

11396736 is a wasteful number, since it uses less digits than its factorization.

11396736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 779 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 11396736 is about 3375.9052119395. The cubic root of 11396736 is about 225.0402298435.

It can be divided in two parts, 113967 and 36, that added together give a triangular number (114003 = T477).

The spelling of 11396736 in words is "eleven million, three hundred ninety-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 761 832 936 1152 1248 1522 1664 1872 2283 2496 3044 3744 4566 4992 6088 6849 7488 9132 9893 12176 13698 14976 18264 19786 24352 27396 29679 36528 39572 48704 54792 59358 73056 79144 89037 97408 109584 118716 146112 158288 178074 219168 237432 292224 316576 356148 438336 474864 633152 712296 876672 949728 1266304 1424592 1899456 2849184 3798912 5698368 11396736