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21374280 = 23365733
BaseRepresentation
bin101000110001…
…0010101001000
31111012221000000
41101202111020
520432434110
62042043000
7346451454
oct121422510
944187000
1021374280
11110798a4
1271a9460
134574b05
142ba5664
151d231c0
hex1462548

21374280 has 112 divisors (see below), whose sum is σ = 72203580. Its totient is φ = 5692032.

The previous prime is 21374279. The next prime is 21374281. The reversal of 21374280 is 8247312.

It is an interprime number because it is at equal distance from previous prime (21374279) and next prime (21374281).

It can be written as a sum of positive squares in 2 ways, for example, as 20088324 + 1285956 = 4482^2 + 1134^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21374281) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28794 + ... + 29526.

Almost surely, 221374280 is an apocalyptic number.

21374280 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 21374280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36101790).

21374280 is an abundant number, since it is smaller than the sum of its proper divisors (50829300).

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

21374280 is an equidigital number, since it uses as much as digits as its factorization.

21374280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 21374280 is about 4623.2326352889. The cubic root of 21374280 is about 277.5218390409.

The spelling of 21374280 in words is "twenty-one million, three hundred seventy-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 733 810 972 1080 1215 1458 1466 1620 1944 2199 2430 2916 2932 3240 3645 3665 4398 4860 5832 5864 6597 7290 7330 8796 9720 10995 13194 14580 14660 17592 19791 21990 26388 29160 29320 32985 39582 43980 52776 59373 65970 79164 87960 98955 118746 131940 158328 178119 197910 237492 263880 296865 356238 395820 474984 534357 593730 712476 791640 890595 1068714 1187460 1424952 1781190 2137428 2374920 2671785 3562380 4274856 5343570 7124760 10687140 21374280