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21376980 = 22335311277
BaseRepresentation
bin101000110001…
…0111111010100
31111020001201000
41101202333110
520433030410
62042103300
7346462362
oct121427724
944201630
1021376980
1111080929
1271aab30
134576101
142ba6632
151d23dc0
hex1462fd4

21376980 has 96 divisors (see below), whose sum is σ = 68705280. Its totient is φ = 5512320.

The previous prime is 21376951. The next prime is 21376981. The reversal of 21376980 is 8967312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21376981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16102 + ... + 17378.

It is an arithmetic number, because the mean of its divisors is an integer number (715680).

Almost surely, 221376980 is an apocalyptic number.

21376980 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 21376980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34352640).

21376980 is an abundant number, since it is smaller than the sum of its proper divisors (47328300).

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

21376980 is a wasteful number, since it uses less digits than its factorization.

21376980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 21376980 is about 4623.5246295440. The cubic root of 21376980 is about 277.5335240726.

The spelling of 21376980 in words is "twenty-one million, three hundred seventy-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1277 1395 1674 1860 2554 2790 3348 3831 4185 5108 5580 6385 7662 8370 11493 12770 15324 16740 19155 22986 25540 34479 38310 39587 45972 57465 68958 76620 79174 114930 118761 137916 158348 172395 197935 229860 237522 344790 356283 395870 475044 593805 689580 712566 791740 1068849 1187610 1425132 1781415 2137698 2375220 3562830 4275396 5344245 7125660 10688490 21376980