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11099424 = 253783199
BaseRepresentation
bin101010010101…
…110100100000
3202212220112210
4222111310200
510320140144
61033522120
7163225560
oct52256440
922786483
1011099424
1162a1186
123873340
1323b810b
14168cda0
15e93ab9
hexa95d20

11099424 has 96 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 3117312.

The previous prime is 11099411. The next prime is 11099443. The reversal of 11099424 is 42499011.

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

It is a junction number, because it is equal to n+sod(n) for n = 11099391 and 11099400.

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, 55677 + ... + 55875.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 211099424 is an apocalyptic number.

11099424 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 11099424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

11099424 is an abundant number, since it is smaller than the sum of its proper divisors (22769376).

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

11099424 is a wasteful number, since it uses less digits than its factorization.

11099424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 11099424 is about 3331.5798054377. The cubic root of 11099424 is about 223.0660518743.

The spelling of 11099424 in words is "eleven million, ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 83 84 96 112 166 168 199 224 249 332 336 398 498 581 597 664 672 796 996 1162 1194 1328 1393 1592 1743 1992 2324 2388 2656 2786 3184 3486 3984 4179 4648 4776 5572 6368 6972 7968 8358 9296 9552 11144 13944 16517 16716 18592 19104 22288 27888 33034 33432 44576 49551 55776 66068 66864 99102 115619 132136 133728 198204 231238 264272 346857 396408 462476 528544 693714 792816 924952 1387428 1585632 1849904 2774856 3699808 5549712 11099424