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21387700 = 22521723547
BaseRepresentation
bin101000110010…
…1100110110100
31111020121102001
41101211212310
520433401300
62042225044
7346535545
oct121454664
944217361
1021387700
1111088994
1271b5184
13457ac59
142baa4cc
151d2716a
hex14659b4

21387700 has 72 divisors (see below), whose sum is σ = 51371712. Its totient is φ = 7687680.

The previous prime is 21387697. The next prime is 21387701. The reversal of 21387700 is 778312.

It is a happy number.

It is a super-2 number, since 2×213877002 = 914867422580000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21387701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38827 + ... + 39373.

It is an arithmetic number, because the mean of its divisors is an integer number (713496).

Almost surely, 221387700 is an apocalyptic number.

21387700 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 21387700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25685856).

21387700 is an abundant number, since it is smaller than the sum of its proper divisors (29984012).

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

21387700 is a wasteful number, since it uses less digits than its factorization.

21387700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 21387700 is about 4624.6837729730. The cubic root of 21387700 is about 277.5799082702.

The spelling of 21387700 in words is "twenty-one million, three hundred eighty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 46 50 68 85 92 100 115 170 230 340 391 425 460 547 575 782 850 1094 1150 1564 1700 1955 2188 2300 2735 3910 5470 7820 9299 9775 10940 12581 13675 18598 19550 25162 27350 37196 39100 46495 50324 54700 62905 92990 125810 185980 213877 232475 251620 314525 427754 464950 629050 855508 929900 1069385 1258100 2138770 4277540 5346925 10693850 21387700