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11390976 = 21233103
BaseRepresentation
bin101011011101…
…000000000000
3210102201111000
4223131000000
510404002401
61044052000
7165551562
oct53350000
923381430
1011390976
116480233
123994000
13248aa2c
141727332
151000186
hexadd000

11390976 has 104 divisors (see below), whose sum is σ = 34074560. Its totient is φ = 3760128.

The previous prime is 11390971. The next prime is 11390999. The reversal of 11390976 is 67909311.

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 11390976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11390971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110541 + ... + 110643.

It is an arithmetic number, because the mean of its divisors is an integer number (327640).

Almost surely, 211390976 is an apocalyptic number.

11390976 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 11390976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17037280).

11390976 is an abundant number, since it is smaller than the sum of its proper divisors (22683584).

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

11390976 is an equidigital number, since it uses as much as digits as its factorization.

11390976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 11390976 is about 3375.0519995994. The cubic root of 11390976 is about 225.0023110874.

The spelling of 11390976 in words is "eleven million, three hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 128 144 192 206 216 256 288 309 384 412 432 512 576 618 768 824 864 927 1024 1152 1236 1536 1648 1728 1854 2048 2304 2472 2781 3072 3296 3456 3708 4096 4608 4944 5562 6144 6592 6912 7416 9216 9888 11124 12288 13184 13824 14832 18432 19776 22248 26368 27648 29664 36864 39552 44496 52736 55296 59328 79104 88992 105472 110592 118656 158208 177984 210944 237312 316416 355968 421888 474624 632832 711936 949248 1265664 1423872 1898496 2847744 3796992 5695488 11390976