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21476268 = 223211193281
BaseRepresentation
bin101000111101…
…1001110101100
31111102002220100
41101323032230
520444220033
62044151100
7350355012
oct121731654
944362810
1021476268
1111139490
127238490
1345ac368
142bd08b2
151d43513
hex147b3ac

21476268 has 72 divisors (see below), whose sum is σ = 59741136. Its totient is φ = 6451200.

The previous prime is 21476263. The next prime is 21476281. The reversal of 21476268 is 86267412.

21476268 is a `hidden beast` number, since 21 + 4 + 7 + 626 + 8 = 666.

It is a super-2 number, since 2×214762682 = 922460174415648, which contains 22 as substring.

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 (21476261) 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, 76288 + ... + 76568.

It is an arithmetic number, because the mean of its divisors is an integer number (829738).

Almost surely, 221476268 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 21476268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29870568).

21476268 is an abundant number, since it is smaller than the sum of its proper divisors (38264868).

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

21476268 is a wasteful number, since it uses less digits than its factorization.

21476268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 490 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 21476268 is about 4634.2494537951. The cubic root of 21476268 is about 277.9625400244.

It can be divided in two parts, 21 and 476268, that multiplied together give a triangular number (10001628 = T4472).

The spelling of 21476268 in words is "twenty-one million, four hundred seventy-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 193 198 281 386 396 562 579 772 843 1124 1158 1686 1737 2123 2316 2529 3091 3372 3474 4246 5058 6182 6369 6948 8492 9273 10116 12364 12738 18546 19107 25476 27819 37092 38214 54233 55638 76428 108466 111276 162699 216932 325398 488097 596563 650796 976194 1193126 1789689 1952388 2386252 3579378 5369067 7158756 10738134 21476268