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11309376 = 2631323197
BaseRepresentation
bin101011001001…
…000101000000
3210021120112210
4223021011000
510343400001
61042222120
7165061641
oct53110500
923246483
1011309376
1164249a1
123954940
13245c850
1417056c8
15ed5dd6
hexac9140

11309376 has 112 divisors (see below), whose sum is σ = 33796224. Its totient is φ = 3311616.

The previous prime is 11309359. The next prime is 11309381. The reversal of 11309376 is 67390311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57310 + ... + 57506.

It is an arithmetic number, because the mean of its divisors is an integer number (301752).

Almost surely, 211309376 is an apocalyptic number.

11309376 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 11309376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16898112).

11309376 is an abundant number, since it is smaller than the sum of its proper divisors (22486848).

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

11309376 is a wasteful number, since it uses less digits than its factorization.

11309376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 11309376 is about 3362.9415695192. The cubic root of 11309376 is about 224.4637501139.

Adding to 11309376 its reverse (67390311), we get a palindrome (78699687).

The spelling of 11309376 in words is "eleven million, three hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 138 156 184 192 197 208 276 299 312 368 394 416 552 591 598 624 736 788 832 897 1104 1182 1196 1248 1472 1576 1794 2208 2364 2392 2496 2561 3152 3588 4416 4531 4728 4784 5122 6304 7176 7683 9062 9456 9568 10244 12608 13593 14352 15366 18124 18912 19136 20488 27186 28704 30732 36248 37824 40976 54372 57408 58903 61464 72496 81952 108744 117806 122928 144992 163904 176709 217488 235612 245856 289984 353418 434976 471224 491712 706836 869952 942448 1413672 1884896 2827344 3769792 5654688 11309376