Search a number
-
+
23609712 = 2437292423
BaseRepresentation
bin101101000010…
…0000101110000
31122102111102210
41122010011300
522021002322
62202012120
7404451660
oct132040560
948374383
1023609712
1112366365
127aa7040
134b78459
1431c81a0
15211570c
hex1684170

23609712 has 80 divisors (see below), whose sum is σ = 72138240. Its totient is φ = 6510336.

The previous prime is 23609711. The next prime is 23609713. The reversal of 23609712 is 21790632.

It is an interprime number because it is at equal distance from previous prime (23609711) and next prime (23609713).

It is a self number, because there is not a number n which added to its sum of digits gives 23609712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23609711) 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, 8533 + ... + 10955.

It is an arithmetic number, because the mean of its divisors is an integer number (901728).

Almost surely, 223609712 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 23609712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36069120).

23609712 is an abundant number, since it is smaller than the sum of its proper divisors (48528528).

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

23609712 is a wasteful number, since it uses less digits than its factorization.

23609712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 23609712 is about 4858.9826095593. The cubic root of 23609712 is about 286.8777701091.

The spelling of 23609712 in words is "twenty-three million, six hundred nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2423 2436 3248 4846 4872 7269 9692 9744 14538 16961 19384 29076 33922 38768 50883 58152 67844 70267 101766 116304 135688 140534 203532 210801 271376 281068 407064 421602 491869 562136 814128 843204 983738 1124272 1475607 1686408 1967476 2951214 3372816 3934952 5902428 7869904 11804856 23609712