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12379392 = 2835199
BaseRepresentation
bin101111001110…
…010100000000
3212021221100000
4233032110000
511132120032
61121200000
7210136344
oct57162400
925257300
1012379392
116a95903
124190000
1327458ac
141903624
151147e7c
hexbce500

12379392 has 108 divisors (see below), whose sum is σ = 37200800. Its totient is φ = 4105728.

The previous prime is 12379387. The next prime is 12379429. The reversal of 12379392 is 29397321.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62109 + ... + 62307.

Almost surely, 212379392 is an apocalyptic number.

12379392 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 12379392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18600400).

12379392 is an abundant number, since it is smaller than the sum of its proper divisors (24821408).

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

12379392 is an frugal number, since it uses more digits than its factorization.

12379392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 204 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 12379392 is about 3518.4360161867. The cubic root of 12379392 is about 231.3306110980.

The spelling of 12379392 in words is "twelve million, three hundred seventy-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 199 216 243 256 288 324 384 398 432 486 576 597 648 768 796 864 972 1152 1194 1296 1592 1728 1791 1944 2304 2388 2592 3184 3456 3582 3888 4776 5184 5373 6368 6912 7164 7776 9552 10368 10746 12736 14328 15552 16119 19104 20736 21492 25472 28656 31104 32238 38208 42984 48357 50944 57312 62208 64476 76416 85968 96714 114624 128952 152832 171936 193428 229248 257904 343872 386856 458496 515808 687744 773712 1031616 1375488 1547424 2063232 3094848 4126464 6189696 12379392