[go: up one dir, main page]

Search a number
-
+
23074912 = 257313323
BaseRepresentation
bin101100000000…
…1100001100000
31121102022211101
41120001201200
521401344122
62142324144
7400063540
oct130014140
947368741
1023074912
1112030583
127889654
134a1bbc3
1430c9320
15205c027
hex1601860

23074912 has 48 divisors (see below), whose sum is σ = 53609472. Its totient is φ = 9567360.

The previous prime is 23074907. The next prime is 23074921. The reversal of 23074912 is 21947032.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5283 + ... + 8605.

It is an arithmetic number, because the mean of its divisors is an integer number (1116864).

Almost surely, 223074912 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 23074912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26804736).

23074912 is an abundant number, since it is smaller than the sum of its proper divisors (30534560).

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

23074912 is a wasteful number, since it uses less digits than its factorization.

23074912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 23074912 is about 4803.6352900694. The cubic root of 23074912 is about 284.6951166628.

The spelling of 23074912 in words is "twenty-three million, seventy-four thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3323 3472 6646 6944 13292 23261 26584 46522 53168 93044 103013 106336 186088 206026 372176 412052 721091 744352 824104 1442182 1648208 2884364 3296416 5768728 11537456 23074912