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21996480 = 2635112083
BaseRepresentation
bin101001111101…
…0001111000000
31112101112111110
41103322033000
521112341410
62103243320
7354652452
oct123721700
945345443
1021996480
1111464310
127449540
13473208c
142cc82d2
151de7720
hex14fa3c0

21996480 has 112 divisors (see below), whose sum is σ = 76224384. Its totient is φ = 5329920.

The previous prime is 21996473. The next prime is 21996493. The reversal of 21996480 is 8469912.

It is a super-3 number, since 3×219964803 (a number of 23 digits) contains 333 as substring.

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, 9519 + ... + 11601.

Almost surely, 221996480 is an apocalyptic number.

21996480 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 21996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38112192).

21996480 is an abundant number, since it is smaller than the sum of its proper divisors (54227904).

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

21996480 is a wasteful number, since it uses less digits than its factorization.

21996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 21996480 is about 4690.0405115521. The cubic root of 21996480 is about 280.1889880587.

The spelling of 21996480 in words is "twenty-one million, nine hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2083 2112 2640 3520 4166 5280 6249 8332 10415 10560 12498 16664 20830 22913 24996 31245 33328 41660 45826 49992 62490 66656 68739 83320 91652 99984 114565 124980 133312 137478 166640 183304 199968 229130 249960 274956 333280 343695 366608 399936 458260 499920 549912 666560 687390 733216 916520 999840 1099824 1374780 1466432 1833040 1999680 2199648 2749560 3666080 4399296 5499120 7332160 10998240 21996480