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21275072 = 267132281
BaseRepresentation
bin101000100101…
…0000111000000
31111000212220122
41101022013000
520421300242
62035555412
7345556310
oct121120700
944025818
1021275072
1111011305
12715bb68
13453b900
142b7b440
151d03ad2
hex144a1c0

21275072 has 84 divisors (see below), whose sum is σ = 52431696. Its totient is φ = 8386560.

The previous prime is 21275057. The next prime is 21275077. The reversal of 21275072 is 27057212.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21275077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75572 + ... + 75852.

Almost surely, 221275072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26215848).

21275072 is an abundant number, since it is smaller than the sum of its proper divisors (31156624).

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

21275072 is a wasteful number, since it uses less digits than its factorization.

21275072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 21275072 is about 4612.4908671996. The cubic root of 21275072 is about 277.0918036016.

The spelling of 21275072 in words is "twenty-one million, two hundred seventy-five thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 169 182 208 224 281 338 364 416 448 562 676 728 832 1124 1183 1352 1456 1967 2248 2366 2704 2912 3653 3934 4496 4732 5408 5824 7306 7868 8992 9464 10816 14612 15736 17984 18928 25571 29224 31472 37856 47489 51142 58448 62944 75712 94978 102284 116896 125888 189956 204568 233792 332423 379912 409136 664846 759824 818272 1329692 1519648 1636544 2659384 3039296 5318768 10637536 21275072