Search a number
-
+
23520960 = 263258167
BaseRepresentation
bin101100110111…
…0011011000000
31122020222200200
41121232123000
522010132320
62200045200
7403632141
oct131563300
948228620
1023520960
1112305711
127a63800
134b46c38
1431a3ac8
1520e9290
hex166e6c0

23520960 has 84 divisors (see below), whose sum is σ = 80912208. Its totient is φ = 6271488.

The previous prime is 23520947. The next prime is 23520961. The reversal of 23520960 is 6902532.

It is not an unprimeable number, because it can be changed into a prime (23520961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1204 + ... + 6963.

Almost surely, 223520960 is an apocalyptic number.

23520960 is a gapful number since it is divisible by the number (20) 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 23520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40456104).

23520960 is an abundant number, since it is smaller than the sum of its proper divisors (57391248).

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

23520960 is a wasteful number, since it uses less digits than its factorization.

23520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8190 (or 8177 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 23520960 is about 4849.8412345148. The cubic root of 23520960 is about 286.5178483622.

The spelling of 23520960 in words is "twenty-three million, five hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 8167 16334 24501 32668 40835 49002 65336 73503 81670 98004 122505 130672 147006 163340 196008 245010 261344 294012 326680 367515 392016 490020 522688 588024 653360 735030 784032 980040 1176048 1306720 1470060 1568064 1960080 2352096 2613440 2940120 3920160 4704192 5880240 7840320 11760480 23520960