Search a number
-
+
23368400 = 24521147113
BaseRepresentation
bin101100100100…
…1001011010000
31121222020102022
41121021023100
521440242100
62152511012
7402425306
oct131111320
947866368
1023368400
1112211030
1279ab468
134ac2673
143164276
1520b8e85
hex16492d0

23368400 has 120 divisors (see below), whose sum is σ = 63103104. Its totient is φ = 8243200.

The previous prime is 23368379. The next prime is 23368417. The reversal of 23368400 is 486332.

It is a self number, because there is not a number n which added to its sum of digits gives 23368400.

It is a congruent number.

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, 206744 + ... + 206856.

Almost surely, 223368400 is an apocalyptic number.

23368400 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 23368400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31551552).

23368400 is an abundant number, since it is smaller than the sum of its proper divisors (39734704).

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

23368400 is a wasteful number, since it uses less digits than its factorization.

23368400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 23368400 is about 4834.0872975154. The cubic root of 23368400 is about 285.8970402207.

The spelling of 23368400 in words is "twenty-three million, three hundred sixty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 47 50 55 80 88 94 100 110 113 176 188 200 220 226 235 275 376 400 440 452 470 517 550 565 752 880 904 940 1034 1100 1130 1175 1243 1808 1880 2068 2200 2260 2350 2486 2585 2825 3760 4136 4400 4520 4700 4972 5170 5311 5650 6215 8272 9040 9400 9944 10340 10622 11300 12430 12925 18800 19888 20680 21244 22600 24860 25850 26555 31075 41360 42488 45200 49720 51700 53110 58421 62150 84976 99440 103400 106220 116842 124300 132775 206800 212440 233684 248600 265550 292105 424880 467368 497200 531100 584210 934736 1062200 1168420 1460525 2124400 2336840 2921050 4673680 5842100 11684200 23368400