Search a number
-
+
23609872 = 24111317607
BaseRepresentation
bin101101000010…
…0001000010000
31122102111122201
41122010020100
522021003442
62202012544
7404452306
oct132041020
948374581
1023609872
11123664a0
127aa7154
134b78550
1431c8276
1521157b7
hex1684210

23609872 has 80 divisors (see below), whose sum is σ = 56996352. Its totient is φ = 9308160.

The previous prime is 23609869. The next prime is 23609909. The reversal of 23609872 is 27890632.

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 15 ways as a sum of consecutive naturals, for example, 38593 + ... + 39199.

Almost surely, 223609872 is an apocalyptic number.

23609872 is a gapful number since it is divisible by the number (22) 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 23609872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498176).

23609872 is an abundant number, since it is smaller than the sum of its proper divisors (33386480).

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

23609872 is a wasteful number, since it uses less digits than its factorization.

23609872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 23609872 is about 4858.9990738834. Note that the first 3 decimals coincide. The cubic root of 23609872 is about 286.8784181523.

The spelling of 23609872 in words is "twenty-three million, six hundred nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 17 22 26 34 44 52 68 88 104 136 143 176 187 208 221 272 286 374 442 572 607 748 884 1144 1214 1496 1768 2288 2428 2431 2992 3536 4856 4862 6677 7891 9712 9724 10319 13354 15782 19448 20638 26708 31564 38896 41276 53416 63128 82552 86801 106832 113509 126256 134147 165104 173602 227018 268294 347204 454036 536588 694408 908072 1073176 1388816 1475617 1816144 2146352 2951234 5902468 11804936 23609872