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11492320 = 255731331
BaseRepresentation
bin101011110101…
…101111100000
3210121212111111
4223311233200
510420223240
61050153104
7166453210
oct53655740
923555444
1011492320
11653a394
123a22794
1324c4bb8
141752240
1510201ea
hexaf5be0

11492320 has 96 divisors (see below), whose sum is σ = 32126976. Its totient is φ = 3801600.

The previous prime is 11492291. The next prime is 11492333. The reversal of 11492320 is 2329411.

It is a junction number, because it is equal to n+sod(n) for n = 11492291 and 11492300.

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, 34555 + ... + 34885.

It is an arithmetic number, because the mean of its divisors is an integer number (334656).

Almost surely, 211492320 is an apocalyptic number.

11492320 is a gapful number since it is divisible by the number (10) 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 11492320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16063488).

11492320 is an abundant number, since it is smaller than the sum of its proper divisors (20634656).

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

11492320 is a wasteful number, since it uses less digits than its factorization.

11492320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 11492320 is about 3390.0324482223. The cubic root of 11492320 is about 225.6676138232.

The spelling of 11492320 in words is "eleven million, four hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 331 434 496 560 620 662 868 992 1085 1120 1240 1324 1655 1736 2170 2317 2480 2648 3310 3472 4340 4634 4960 5296 6620 6944 8680 9268 10261 10592 11585 13240 17360 18536 20522 23170 26480 34720 37072 41044 46340 51305 52960 71827 74144 82088 92680 102610 143654 164176 185360 205220 287308 328352 359135 370720 410440 574616 718270 820880 1149232 1436540 1641760 2298464 2873080 5746160 11492320