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2313792 = 263313103
BaseRepresentation
bin1000110100111001000000
311100112221000
420310321000
51043020132
6121332000
725444515
oct10647100
94315830
102313792
111340428
12937000
13630210
1444330c
1530a87c
hex234e40

2313792 has 112 divisors (see below), whose sum is σ = 7396480. Its totient is φ = 705024.

The previous prime is 2313769. The next prime is 2313797. The reversal of 2313792 is 2973132.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313797) 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, 22413 + ... + 22515.

It is an arithmetic number, because the mean of its divisors is an integer number (66040).

22313792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698240).

2313792 is an abundant number, since it is smaller than the sum of its proper divisors (5082688).

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

2313792 is a wasteful number, since it uses less digits than its factorization.

2313792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 2313792 is about 1521.1153802391. The cubic root of 2313792 is about 132.2639347193.

The spelling of 2313792 in words is "two million, three hundred thirteen thousand, seven 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 96 103 104 108 117 144 156 192 206 208 216 234 288 309 312 351 412 416 432 468 576 618 624 702 824 832 864 927 936 1236 1248 1339 1404 1648 1728 1854 1872 2472 2496 2678 2781 2808 3296 3708 3744 4017 4944 5356 5562 5616 6592 7416 7488 8034 9888 10712 11124 11232 12051 14832 16068 19776 21424 22248 22464 24102 29664 32136 36153 42848 44496 48204 59328 64272 72306 85696 88992 96408 128544 144612 177984 192816 257088 289224 385632 578448 771264 1156896 2313792