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23079744 = 2632172357
BaseRepresentation
bin101100000001…
…0101101000000
31121102120110100
41120002231000
521402022434
62142402400
7400113612
oct130025500
947376410
1023079744
1112034176
127890400
134a2116c
1430cadb2
15205d699
hex1602b40

23079744 has 84 divisors (see below), whose sum is σ = 70075044. Its totient is φ = 7237632.

The previous prime is 23079743. The next prime is 23079799. The reversal of 23079744 is 44797032.

It can be written as a sum of positive squares in 2 ways, for example, as 10969344 + 12110400 = 3312^2 + 3480^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 23079699 and 23079708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23079743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8614 + ... + 10970.

Almost surely, 223079744 is an apocalyptic number.

23079744 is a gapful number since it is divisible by the number (24) 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 23079744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35037522).

23079744 is an abundant number, since it is smaller than the sum of its proper divisors (46995300).

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

23079744 is a wasteful number, since it uses less digits than its factorization.

23079744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 23079744 is about 4804.1382161632. The cubic root of 23079744 is about 284.7149874614.

The spelling of 23079744 in words is "twenty-three million, seventy-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2357 2448 3264 4714 4896 7071 9428 9792 14142 18856 21213 28284 37712 40069 42426 56568 75424 80138 84852 113136 120207 150848 160276 169704 226272 240414 320552 339408 360621 452544 480828 641104 678816 721242 961656 1282208 1357632 1442484 1923312 2564416 2884968 3846624 5769936 7693248 11539872 23079744