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11276804 = 22711194147
BaseRepresentation
bin101011000001…
…001000000100
3210012220212102
4223001020010
510341324204
61041411232
7164564660
oct53011004
923186772
1011276804
116402480
123939b18
13244aa86
1416d78a0
15ecb41e
hexac1204

11276804 has 96 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 3974400.

The previous prime is 11276801. The next prime is 11276807. The reversal of 11276804 is 40867211.

It is an interprime number because it is at equal distance from previous prime (11276801) and next prime (11276807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11276801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239909 + ... + 239955.

It is an arithmetic number, because the mean of its divisors is an integer number (282240).

Almost surely, 211276804 is an apocalyptic number.

11276804 is a gapful number since it is divisible by the number (14) 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 11276804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

11276804 is an abundant number, since it is smaller than the sum of its proper divisors (15818236).

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

11276804 is a wasteful number, since it uses less digits than its factorization.

11276804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 11276804 is about 3358.0952934662. The cubic root of 11276804 is about 224.2480511069.

The spelling of 11276804 in words is "eleven million, two hundred seventy-six thousand, eight hundred four".

Divisors: 1 2 4 7 11 14 19 22 28 38 41 44 47 76 77 82 94 133 154 164 188 209 266 287 308 329 418 451 517 532 574 658 779 836 893 902 1034 1148 1316 1463 1558 1786 1804 1927 2068 2926 3116 3157 3572 3619 3854 5453 5852 6251 6314 7238 7708 8569 9823 10906 12502 12628 13489 14476 17138 19646 21197 21812 25004 26978 34276 36613 39292 42394 53956 59983 68761 73226 84788 119966 137522 146452 148379 239932 256291 275044 296758 402743 512582 593516 805486 1025164 1610972 2819201 5638402 11276804