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21609460 = 2251924173
BaseRepresentation
bin101001001101…
…1101111110100
31111122212121101
41102123233310
521013000320
62051055444
7351451225
oct122335764
944585541
1021609460
111121a564
1272a1584
134627b82
142c2724c
151d6cc0a
hex149bbf4

21609460 has 72 divisors (see below), whose sum is σ = 49734216. Its totient is φ = 7879680.

The previous prime is 21609439. The next prime is 21609461. The reversal of 21609460 is 6490612.

It can be written as a sum of positive squares in 4 ways, for example, as 116964 + 21492496 = 342^2 + 4636^2 .

It is a super-2 number, since 2×216094602 = 933937522983200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21609461) 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, 295984 + ... + 296056.

It is an arithmetic number, because the mean of its divisors is an integer number (690753).

Almost surely, 221609460 is an apocalyptic number.

21609460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21609460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24867108).

21609460 is an abundant number, since it is smaller than the sum of its proper divisors (28124756).

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

21609460 is a wasteful number, since it uses less digits than its factorization.

21609460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 21609460 is about 4648.5976379979. The cubic root of 21609460 is about 278.5359809628.

The spelling of 21609460 in words is "twenty-one million, six hundred nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 41 73 76 82 95 146 164 190 205 292 361 365 380 410 722 730 779 820 1387 1444 1460 1558 1805 2774 2993 3116 3610 3895 5548 5986 6935 7220 7790 11972 13870 14801 14965 15580 26353 27740 29602 29930 52706 56867 59204 59860 74005 105412 113734 131765 148010 227468 263530 284335 296020 527060 568670 1080473 1137340 2160946 4321892 5402365 10804730 21609460