Search a number
-
+
23316960 = 2535311567
BaseRepresentation
bin101100011110…
…0100111100000
31121212121212010
41120330213200
521432120320
62151432520
7402122322
oct130744740
947777763
1023316960
1112186417
127985740
134aa5124
14314d612
1520a8ae0
hex163c9e0

23316960 has 96 divisors (see below), whose sum is σ = 75866112. Its totient is φ = 6013440.

The previous prime is 23316959. The next prime is 23316973. The reversal of 23316960 is 6961332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14097 + ... + 15663.

It is an arithmetic number, because the mean of its divisors is an integer number (790272).

Almost surely, 223316960 is an apocalyptic number.

23316960 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 23316960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37933056).

23316960 is an abundant number, since it is smaller than the sum of its proper divisors (52549152).

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

23316960 is a wasteful number, since it uses less digits than its factorization.

23316960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 23316960 is about 4828.7638169619. The cubic root of 23316960 is about 285.6871078911.

The spelling of 23316960 in words is "twenty-three million, three hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1567 1860 2480 2976 3134 3720 4701 4960 6268 7440 7835 9402 12536 14880 15670 18804 23505 25072 31340 37608 47010 48577 50144 62680 75216 94020 97154 125360 145731 150432 188040 194308 242885 250720 291462 376080 388616 485770 582924 728655 752160 777232 971540 1165848 1457310 1554464 1943080 2331696 2914620 3886160 4663392 5829240 7772320 11658480 23316960