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21808640 = 29571217
BaseRepresentation
bin101001100110…
…0011000000000
31112000222211102
41103030120000
521040334030
62055233532
7353241020
oct123143000
945028742
1021808640
1111346177
1273788a8
134697729
142c79a80
151dabc45
hex14cc600

21808640 has 80 divisors (see below), whose sum is σ = 59808672. Its totient is φ = 7471104.

The previous prime is 21808621. The next prime is 21808681. The reversal of 21808640 is 4680812.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17312 + ... + 18528.

Almost surely, 221808640 is an apocalyptic number.

21808640 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 21808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29904336).

21808640 is an abundant number, since it is smaller than the sum of its proper divisors (38000032).

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

21808640 is an equidigital number, since it uses as much as digits as its factorization.

21808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 21808640 is about 4669.9721626579. The cubic root of 21808640 is about 279.3891445009.

The spelling of 21808640 in words is "twenty-one million, eight hundred eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1217 1280 1792 2240 2434 2560 3584 4480 4868 6085 8519 8960 9736 12170 17038 17920 19472 24340 34076 38944 42595 48680 68152 77888 85190 97360 136304 155776 170380 194720 272608 311552 340760 389440 545216 623104 681520 778880 1090432 1363040 1557760 2180864 2726080 3115520 4361728 5452160 10904320 21808640