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12392380 = 22571113619
BaseRepresentation
bin101111010001…
…011110111100
3212022121011001
4233101132330
511133024010
61121340044
7210222250
oct57213674
925277131
1012392380
116aa4640
124197624
13274b790
141908260
15114bc3a
hexbd17bc

12392380 has 96 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 3559680.

The previous prime is 12392363. The next prime is 12392383. The reversal of 12392380 is 8329321.

It is a super-3 number, since 3×123923803 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12392383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19711 + ... + 20329.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 212392380 is an apocalyptic number.

12392380 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 12392380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

12392380 is an abundant number, since it is smaller than the sum of its proper divisors (22605380).

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

12392380 is a wasteful number, since it uses less digits than its factorization.

12392380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 12392380 is about 3520.2812387649. The cubic root of 12392380 is about 231.4114839940.

The spelling of 12392380 in words is "twelve million, three hundred ninety-two thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 619 715 770 910 1001 1238 1430 1540 1820 2002 2476 2860 3095 4004 4333 5005 6190 6809 8047 8666 10010 12380 13618 16094 17332 20020 21665 27236 32188 34045 40235 43330 47663 56329 68090 80470 86660 88517 95326 112658 136180 160940 177034 190652 225316 238315 281645 354068 442585 476630 563290 619619 885170 953260 1126580 1239238 1770340 2478476 3098095 6196190 12392380