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23794920 = 23325157421
BaseRepresentation
bin101101011000…
…1010011101000
31122202220111100
41122301103220
522042414140
62210001400
7406152642
oct132612350
948686440
1023794920
1112482526
127b76260
134c11846
143235892
152150530
hex16b14e8

23794920 has 96 divisors (see below), whose sum is σ = 78010920. Its totient is φ = 6289920.

The previous prime is 23794919. The next prime is 23794943. The reversal of 23794920 is 2949732.

It can be written as a sum of positive squares in 4 ways, for example, as 8538084 + 15256836 = 2922^2 + 3906^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56310 + ... + 56730.

Almost surely, 223794920 is an apocalyptic number.

23794920 is a gapful number since it is divisible by the number (20) 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 23794920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39005460).

23794920 is an abundant number, since it is smaller than the sum of its proper divisors (54216000).

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

23794920 is a wasteful number, since it uses less digits than its factorization.

23794920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 23794920 is about 4878.0036900355. The cubic root of 23794920 is about 287.6259611882.

Subtracting from 23794920 its sum of digits (36), we obtain a square (23794884 = 48782).

The spelling of 23794920 in words is "twenty-three million, seven hundred ninety-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 157 180 314 360 421 471 628 785 842 942 1256 1263 1413 1570 1684 1884 2105 2355 2526 2826 3140 3368 3768 3789 4210 4710 5052 5652 6280 6315 7065 7578 8420 9420 10104 11304 12630 14130 15156 16840 18840 18945 25260 28260 30312 37890 50520 56520 66097 75780 132194 151560 198291 264388 330485 396582 528776 594873 660970 793164 991455 1189746 1321940 1586328 1982910 2379492 2643880 2974365 3965820 4758984 5948730 7931640 11897460 23794920