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21370700 = 22521317967
BaseRepresentation
bin101000110000…
…1011101001100
31111012202002102
41101201131030
520432330300
62042014232
7346435151
oct121413514
944182072
1021370700
111107713a
1271a7378
1345732b0
142ba4228
151d220d5
hex146174c

21370700 has 72 divisors (see below), whose sum is σ = 52934112. Its totient is φ = 7418880.

The previous prime is 21370693. The next prime is 21370721. The reversal of 21370700 is 707312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21617 + ... + 22583.

It is an arithmetic number, because the mean of its divisors is an integer number (735196).

Almost surely, 221370700 is an apocalyptic number.

21370700 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 21370700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26467056).

21370700 is an abundant number, since it is smaller than the sum of its proper divisors (31563412).

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

21370700 is a wasteful number, since it uses less digits than its factorization.

21370700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 21370700 is about 4622.8454440961. The cubic root of 21370700 is about 277.5063440370.

The spelling of 21370700 in words is "twenty-one million, three hundred seventy thousand, seven hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 967 1105 1300 1700 1934 2210 3868 4420 4835 5525 9670 11050 12571 16439 19340 22100 24175 25142 32878 48350 50284 62855 65756 82195 96700 125710 164390 213707 251420 314275 328780 410975 427414 628550 821950 854828 1068535 1257100 1643900 2137070 4274140 5342675 10685350 21370700