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21620480 = 285719127
BaseRepresentation
bin101001001111…
…0011100000000
31111200102201112
41102132130000
521013323410
62051222452
7351525320
oct122363400
944612645
1021620480
1111227872
1272a7a28
13462cbab
142c2b280
151d71105
hex149e700

21620480 has 144 divisors (see below), whose sum is σ = 62791680. Its totient is φ = 6967296.

The previous prime is 21620479. The next prime is 21620497. The reversal of 21620480 is 8402612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170177 + ... + 170303.

Almost surely, 221620480 is an apocalyptic number.

21620480 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 21620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31395840).

21620480 is an abundant number, since it is smaller than the sum of its proper divisors (41171200).

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

21620480 is a wasteful number, since it uses less digits than its factorization.

21620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 21620480 is about 4649.7827906258. The cubic root of 21620480 is about 278.5833204904.

The spelling of 21620480 in words is "twenty-one million, six hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 127 128 133 140 152 160 190 224 254 256 266 280 304 320 380 448 508 532 560 608 635 640 665 760 889 896 1016 1064 1120 1216 1270 1280 1330 1520 1778 1792 2032 2128 2240 2413 2432 2540 2660 3040 3556 4064 4256 4445 4480 4826 4864 5080 5320 6080 7112 8128 8512 8890 8960 9652 10160 10640 12065 12160 14224 16256 16891 17024 17780 19304 20320 21280 24130 24320 28448 32512 33782 34048 35560 38608 40640 42560 48260 56896 67564 71120 77216 81280 84455 85120 96520 113792 135128 142240 154432 162560 168910 170240 193040 227584 270256 284480 308864 337820 386080 540512 568960 617728 675640 772160 1081024 1137920 1351280 1544320 2162048 2702560 3088640 4324096 5405120 10810240 21620480