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21296808 = 23321361373
BaseRepresentation
bin101000100111…
…1011010101000
31111001222201200
41101033122220
520422444213
62040244200
7346006551
oct121173250
944058650
1021296808
1111026675
127170660
134548780
142b85328
151d0a273
hex144f6a8

21296808 has 96 divisors (see below), whose sum is σ = 63303240. Its totient is φ = 6428160.

The previous prime is 21296797. The next prime is 21296809. The reversal of 21296808 is 80869212.

It can be written as a sum of positive squares in 4 ways, for example, as 8892324 + 12404484 = 2982^2 + 3522^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (21296809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56910 + ... + 57282.

Almost surely, 221296808 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 21296808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31651620).

21296808 is an abundant number, since it is smaller than the sum of its proper divisors (42006432).

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

21296808 is a wasteful number, since it uses less digits than its factorization.

21296808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 21296808 is about 4614.8464763197. The cubic root of 21296808 is about 277.1861364980.

It can be divided in two parts, 212 and 96808, that added together give a triangular number (97020 = T440).

The spelling of 21296808 in words is "twenty-one million, two hundred ninety-six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 61 72 78 104 117 122 156 183 234 244 312 366 373 468 488 549 732 746 793 936 1098 1119 1464 1492 1586 2196 2238 2379 2984 3172 3357 4392 4476 4758 4849 6344 6714 7137 8952 9516 9698 13428 14274 14547 19032 19396 22753 26856 28548 29094 38792 43641 45506 57096 58188 68259 87282 91012 116376 136518 174564 182024 204777 273036 295789 349128 409554 546072 591578 819108 887367 1183156 1638216 1774734 2366312 2662101 3549468 5324202 7098936 10648404 21296808