Search a number
-
+
21195960 = 23351731021
BaseRepresentation
bin101000011011…
…0110010111000
31110212212101120
41100312302320
520411232320
62034145240
7345106542
oct120666270
943785346
1021195960
1110a67925
127122220
1345118b6
142b5a692
151cda440
hex1436cb8

21195960 has 64 divisors (see below), whose sum is σ = 64018080. Its totient is φ = 5614080.

The previous prime is 21195899. The next prime is 21195989. The reversal of 21195960 is 6959112.

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, 20250 + ... + 21270.

Almost surely, 221195960 is an apocalyptic number.

21195960 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 21195960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32009040).

21195960 is an abundant number, since it is smaller than the sum of its proper divisors (42822120).

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

21195960 is a wasteful number, since it uses less digits than its factorization.

21195960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 21195960 is about 4603.9070364203. The cubic root of 21195960 is about 276.7479189104.

It can be divided in two parts, 21195 and 960, that added together give a triangular number (22155 = T210).

The spelling of 21195960 in words is "twenty-one million, one hundred ninety-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 519 692 865 1021 1038 1384 1730 2042 2076 2595 3063 3460 4084 4152 5105 5190 6126 6920 8168 10210 10380 12252 15315 20420 20760 24504 30630 40840 61260 122520 176633 353266 529899 706532 883165 1059798 1413064 1766330 2119596 2649495 3532660 4239192 5298990 7065320 10597980 21195960