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21694320 = 24325291039
BaseRepresentation
bin101001011000…
…0011101110000
31111211012000100
41102300131300
521023204240
62052552400
7352253514
oct122603560
944735010
1021694320
111127829a
127322700
13465769b
142c4a144
151d87e30
hex14b0770

21694320 has 120 divisors (see below), whose sum is σ = 75441600. Its totient is φ = 5580288.

The previous prime is 21694303. The next prime is 21694367. The reversal of 21694320 is 2349612.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20361 + ... + 21399.

It is an arithmetic number, because the mean of its divisors is an integer number (628680).

Almost surely, 221694320 is an apocalyptic number.

21694320 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 21694320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37720800).

21694320 is an abundant number, since it is smaller than the sum of its proper divisors (53747280).

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

21694320 is a wasteful number, since it uses less digits than its factorization.

21694320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 21694320 is about 4657.7161785579. The cubic root of 21694320 is about 278.9001068369.

The spelling of 21694320 in words is "twenty-one million, six hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1039 1044 1160 1305 1392 1740 2078 2088 2320 2610 3117 3480 4156 4176 5195 5220 6234 6960 8312 9351 10390 10440 12468 15585 16624 18702 20780 20880 24936 30131 31170 37404 41560 46755 49872 60262 62340 74808 83120 90393 93510 120524 124680 149616 150655 180786 187020 241048 249360 271179 301310 361572 374040 451965 482096 542358 602620 723144 748080 903930 1084716 1205240 1355895 1446288 1807860 2169432 2410480 2711790 3615720 4338864 5423580 7231440 10847160 21694320