Search a number
-
+
32230960 = 245735519
BaseRepresentation
bin111101011110…
…0111000110000
32020122111120021
41322330320300
531222342320
63110453224
7540646546
oct172747060
966574507
1032230960
1117214663
12a964214
1368a6598
1443cdd96
152c69daa
hex1ebce30

32230960 has 40 divisors (see below), whose sum is σ = 75977280. Its totient is φ = 12713472.

The previous prime is 32230937. The next prime is 32230967. The reversal of 32230960 is 6903223.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (32230967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3081 + ... + 8599.

It is an arithmetic number, because the mean of its divisors is an integer number (1899432).

Almost surely, 232230960 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 32230960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37988640).

32230960 is an abundant number, since it is smaller than the sum of its proper divisors (43746320).

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

32230960 is a wasteful number, since it uses less digits than its factorization.

32230960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5605 (or 5599 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 32230960 is about 5677.2317197733. The cubic root of 32230960 is about 318.2421846132.

The spelling of 32230960 in words is "thirty-two million, two hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5519 5840 11038 22076 27595 44152 55190 88304 110380 220760 402887 441520 805774 1611548 2014435 3223096 4028870 6446192 8057740 16115480 32230960