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21371000 = 235374371
BaseRepresentation
bin101000110000…
…1100001111000
31111012202111112
41101201201320
520432333000
62042015452
7346436060
oct121414170
944182445
1021371000
1111077392
1271a7588
134573481
142ba43a0
151d22235
hex1461878

21371000 has 128 divisors (see below), whose sum is σ = 59304960. Its totient is φ = 7056000.

The previous prime is 21370981. The next prime is 21371011. The reversal of 21371000 is 17312.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300965 + ... + 301035.

It is an arithmetic number, because the mean of its divisors is an integer number (463320).

Almost surely, 221371000 is an apocalyptic number.

21371000 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 21371000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29652480).

21371000 is an abundant number, since it is smaller than the sum of its proper divisors (37933960).

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

21371000 is a wasteful number, since it uses less digits than its factorization.

21371000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 21371000 is about 4622.8778915303. The cubic root of 21371000 is about 277.5076425674.

Adding to 21371000 its reverse (17312), we get a palindrome (21388312).

The spelling of 21371000 in words is "twenty-one million, three hundred seventy-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 50 56 70 71 86 100 125 140 142 172 175 200 215 250 280 284 301 344 350 355 430 497 500 568 602 700 710 860 875 994 1000 1075 1204 1400 1420 1505 1720 1750 1775 1988 2150 2408 2485 2840 3010 3053 3500 3550 3976 4300 4970 5375 6020 6106 7000 7100 7525 8600 8875 9940 10750 12040 12212 12425 14200 15050 15265 17750 19880 21371 21500 24424 24850 30100 30530 35500 37625 42742 43000 49700 60200 61060 62125 71000 75250 76325 85484 99400 106855 122120 124250 150500 152650 170968 213710 248500 301000 305300 381625 427420 497000 534275 610600 763250 854840 1068550 1526500 2137100 2671375 3053000 4274200 5342750 10685500 21371000