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11316672 = 26343759
BaseRepresentation
bin101011001010…
…110111000000
3210021221120000
4223022313000
510344113142
61042320000
7165122133
oct53126700
923257500
1011316672
11642a424
123959000
132462c73
14170821a
15ed814c
hexacadc0

11316672 has 140 divisors (see below), whose sum is σ = 35036760. Its totient is φ = 3608064.

The previous prime is 11316661. The next prime is 11316673. The reversal of 11316672 is 27661311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11316673) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 191779 + ... + 191837.

Almost surely, 211316672 is an apocalyptic number.

11316672 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 11316672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17518380).

11316672 is an abundant number, since it is smaller than the sum of its proper divisors (23720088).

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

11316672 is an equidigital number, since it uses as much as digits as its factorization.

11316672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 11316672 is about 3364.0261592324. The cubic root of 11316672 is about 224.5120090533.

Adding to 11316672 its reverse (27661311), we get a palindrome (38977983).

The spelling of 11316672 in words is "eleven million, three hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 59 64 72 74 81 96 108 111 118 144 148 162 177 192 216 222 236 288 296 324 333 354 432 444 472 531 576 592 648 666 708 864 888 944 999 1062 1184 1296 1332 1416 1593 1728 1776 1888 1998 2124 2183 2368 2592 2664 2832 2997 3186 3552 3776 3996 4248 4366 4779 5184 5328 5664 5994 6372 6549 7104 7992 8496 8732 9558 10656 11328 11988 12744 13098 15984 16992 17464 19116 19647 21312 23976 25488 26196 31968 33984 34928 38232 39294 47952 50976 52392 58941 63936 69856 76464 78588 95904 101952 104784 117882 139712 152928 157176 176823 191808 209568 235764 305856 314352 353646 419136 471528 628704 707292 943056 1257408 1414584 1886112 2829168 3772224 5658336 11316672