Search a number
-
+
23078112 = 2531779179
BaseRepresentation
bin101100000001…
…0010011100000
31121102111012220
41120002103200
521401444422
62142351040
7400106061
oct130022340
947374186
1023078112
1112032a22
12788b480
134a204b5
1430ca568
15205ce5c
hex16024e0

23078112 has 96 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 7108608.

The previous prime is 23078093. The next prime is 23078119. The reversal of 23078112 is 21187032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23078119) 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, 128839 + ... + 129017.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 223078112 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 23078112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

23078112 is an abundant number, since it is smaller than the sum of its proper divisors (42240288).

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

23078112 is a wasteful number, since it uses less digits than its factorization.

23078112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 23078112 is about 4803.9683595961. The cubic root of 23078112 is about 284.7082764423.

The spelling of 23078112 in words is "twenty-three million, seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 79 96 102 136 158 179 204 237 272 316 358 408 474 537 544 632 716 816 948 1074 1264 1343 1432 1632 1896 2148 2528 2686 2864 3043 3792 4029 4296 5372 5728 6086 7584 8058 8592 9129 10744 12172 14141 16116 17184 18258 21488 24344 28282 32232 36516 42423 42976 48688 56564 64464 73032 84846 97376 113128 128928 146064 169692 226256 240397 292128 339384 452512 480794 678768 721191 961588 1357536 1442382 1923176 2884764 3846352 5769528 7692704 11539056 23078112