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21694272 = 2631031097
BaseRepresentation
bin101001011000…
…0011101000000
31111211011221120
41102300131000
521023204042
62052552240
7352253415
oct122603500
944734846
1021694272
1111278256
127322680
134657662
142c4a10c
151d87dec
hex14b0740

21694272 has 56 divisors (see below), whose sum is σ = 58009536. Its totient is φ = 7154688.

The previous prime is 21694271. The next prime is 21694273. The reversal of 21694272 is 27249612.

It is an interprime number because it is at equal distance from previous prime (21694271) and next prime (21694273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21694271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19228 + ... + 20324.

Almost surely, 221694272 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 21694272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29004768).

21694272 is an abundant number, since it is smaller than the sum of its proper divisors (36315264).

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

21694272 is a wasteful number, since it uses less digits than its factorization.

21694272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1205 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 21694272 is about 4657.7110258151. The cubic root of 21694272 is about 278.8999011423.

It can be divided in two parts, 2169 and 4272, that added together give a triangular number (6441 = T113).

The spelling of 21694272 in words is "twenty-one million, six hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 824 1097 1236 1648 2194 2472 3291 3296 4388 4944 6582 6592 8776 9888 13164 17552 19776 26328 35104 52656 70208 105312 112991 210624 225982 338973 451964 677946 903928 1355892 1807856 2711784 3615712 5423568 7231424 10847136 21694272