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11299392 = 263313503
BaseRepresentation
bin101011000110…
…101001000000
3210021001212000
4223012221000
510343040032
61042104000
7165020556
oct53065100
923231760
1011299392
116418445
12394b000
132458140
141701bd6
15ed2e7c
hexac6a40

11299392 has 112 divisors (see below), whose sum is σ = 35844480. Its totient is φ = 3469824.

The previous prime is 11299363. The next prime is 11299397. The reversal of 11299392 is 29399211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11299397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22213 + ... + 22715.

It is an arithmetic number, because the mean of its divisors is an integer number (320040).

Almost surely, 211299392 is an apocalyptic number.

11299392 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 11299392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922240).

11299392 is an abundant number, since it is smaller than the sum of its proper divisors (24545088).

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

11299392 is a wasteful number, since it uses less digits than its factorization.

11299392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 521 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 11299392 is about 3361.4568270320. The cubic root of 11299392 is about 224.3976779193.

The spelling of 11299392 in words is "eleven million, two hundred ninety-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 503 576 624 702 832 864 936 1006 1248 1404 1509 1728 1872 2012 2496 2808 3018 3744 4024 4527 5616 6036 6539 7488 8048 9054 11232 12072 13078 13581 16096 18108 19617 22464 24144 26156 27162 32192 36216 39234 48288 52312 54324 58851 72432 78468 96576 104624 108648 117702 144864 156936 176553 209248 217296 235404 289728 313872 353106 418496 434592 470808 627744 706212 869184 941616 1255488 1412424 1883232 2824848 3766464 5649696 11299392