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23427768 = 23371317631
BaseRepresentation
bin101100101011…
…1101010111000
31122002020212010
41121113222320
521444142033
62154045520
7403063350
oct131275270
948066763
1023427768
11122516a1
127a198a0
134b136b0
14317bb60
1520cb863
hex1657ab8

23427768 has 128 divisors (see below), whose sum is σ = 76446720. Its totient is φ = 5806080.

The previous prime is 23427763. The next prime is 23427773. The reversal of 23427768 is 86772432.

It is an interprime number because it is at equal distance from previous prime (23427763) and next prime (23427773).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23427763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36813 + ... + 37443.

It is an arithmetic number, because the mean of its divisors is an integer number (597240).

Almost surely, 223427768 is an apocalyptic number.

23427768 is a gapful number since it is divisible by the number (28) 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 23427768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38223360).

23427768 is an abundant number, since it is smaller than the sum of its proper divisors (53018952).

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

23427768 is a wasteful number, since it uses less digits than its factorization.

23427768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 673 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 23427768 is about 4840.2239617604. The cubic root of 23427768 is about 286.1389449892.

The spelling of 23427768 in words is "twenty-three million, four hundred twenty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 17 21 24 26 28 34 39 42 51 52 56 68 78 84 91 102 104 119 136 156 168 182 204 221 238 273 312 357 364 408 442 476 546 631 663 714 728 884 952 1092 1262 1326 1428 1547 1768 1893 2184 2524 2652 2856 3094 3786 4417 4641 5048 5304 6188 7572 8203 8834 9282 10727 12376 13251 15144 16406 17668 18564 21454 24609 26502 32181 32812 35336 37128 42908 49218 53004 57421 64362 65624 75089 85816 98436 106008 114842 128724 139451 150178 172263 196872 225267 229684 257448 278902 300356 344526 418353 450534 459368 557804 600712 689052 836706 901068 976157 1115608 1378104 1673412 1802136 1952314 2928471 3346824 3904628 5856942 7809256 11713884 23427768