Search a number
-
+
21385672 = 23711149233
BaseRepresentation
bin101000110010…
…1000111001000
31111020111121221
41101211013020
520433320142
62042211424
7346526620
oct121450710
944214557
1021385672
1111087410
1271b3b74
13457a059
142ba9880
151d26767
hex14651c8

21385672 has 64 divisors (see below), whose sum is σ = 50544000. Its totient is φ = 8240640.

The previous prime is 21385649. The next prime is 21385681. The reversal of 21385672 is 27658312.

It is a happy 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, 91668 + ... + 91900.

It is an arithmetic number, because the mean of its divisors is an integer number (789750).

Almost surely, 221385672 is an apocalyptic number.

21385672 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 21385672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25272000).

21385672 is an abundant number, since it is smaller than the sum of its proper divisors (29158328).

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

21385672 is a wasteful number, since it uses less digits than its factorization.

21385672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 402 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 21385672 is about 4624.4645095405. The cubic root of 21385672 is about 277.5711345382.

The spelling of 21385672 in words is "twenty-one million, three hundred eighty-five thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 149 154 233 298 308 466 596 616 932 1043 1192 1631 1639 1864 2086 2563 3262 3278 4172 5126 6524 6556 8344 10252 11473 13048 13112 17941 20504 22946 34717 35882 45892 69434 71764 91784 138868 143528 243019 277736 381887 486038 763774 972076 1527548 1944152 2673209 3055096 5346418 10692836 21385672