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23064372 = 223331832
BaseRepresentation
bin101011111111…
…0111100110100
31121101210101000
41113332330310
521401024442
62142203300
7400021032
oct127767464
947353330
1023064372
1112023671
127883530
134a17176
1430c5552
152058d4c
hex15fef34

23064372 has 72 divisors (see below), whose sum is σ = 62478080. Its totient is φ = 7350480.

The previous prime is 23064323. The next prime is 23064373. The reversal of 23064372 is 27346032.

23064372 is a `hidden beast` number, since 230 + 64 + 372 = 666.

It is a super-3 number, since 3×230643723 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23064373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277843 + ... + 277925.

Almost surely, 223064372 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 23064372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31239040).

23064372 is an abundant number, since it is smaller than the sum of its proper divisors (39413708).

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

23064372 is a wasteful number, since it uses less digits than its factorization.

23064372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 23064372 is about 4802.5380789745. The cubic root of 23064372 is about 284.6517630337.

It can be divided in two parts, 23064 and 372, that added together give a triangular number (23436 = T216).

The spelling of 23064372 in words is "twenty-three million, sixty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 83 93 108 124 166 186 249 279 332 372 498 558 747 837 996 1116 1494 1674 2241 2573 2988 3348 4482 5146 6889 7719 8964 10292 13778 15438 20667 23157 27556 30876 41334 46314 62001 69471 82668 92628 124002 138942 186003 213559 248004 277884 372006 427118 640677 744012 854236 1281354 1922031 2562708 3844062 5766093 7688124 11532186 23064372