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21688290 = 23351337167
BaseRepresentation
bin101001010111…
…0111111100010
31111210212202000
41102232333202
521023011130
62052504430
7352230111
oct122567742
944725660
1021688290
1111273808
12731b116
134654a10
142c47c78
151d86260
hex14aefe2

21688290 has 128 divisors (see below), whose sum is σ = 64350720. Its totient is φ = 5163264.

The previous prime is 21688283. The next prime is 21688301. The reversal of 21688290 is 9288612.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129787 + ... + 129953.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 221688290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21688290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32175360).

21688290 is an abundant number, since it is smaller than the sum of its proper divisors (42662430).

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

21688290 is a wasteful number, since it uses less digits than its factorization.

21688290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

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

The square root of 21688290 is about 4657.0688206210. The cubic root of 21688290 is about 278.8742640743.

The spelling of 21688290 in words is "twenty-one million, six hundred eighty-eight thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 37 39 45 54 65 74 78 90 111 117 130 135 167 185 195 222 234 270 333 334 351 370 390 481 501 555 585 666 702 835 962 999 1002 1110 1170 1443 1503 1665 1670 1755 1998 2171 2405 2505 2886 3006 3330 3510 4329 4342 4509 4810 4995 5010 6179 6513 7215 7515 8658 9018 9990 10855 12358 12987 13026 14430 15030 18537 19539 21645 21710 22545 25974 30895 32565 37074 39078 43290 45090 55611 58617 61790 64935 65130 80327 92685 97695 111222 117234 129870 160654 166833 185370 195390 240981 278055 293085 333666 401635 481962 556110 586170 722943 803270 834165 1204905 1445886 1668330 2168829 2409810 3614715 4337658 7229430 10844145 21688290