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21918080 = 275231489
BaseRepresentation
bin101001110011…
…1000110000000
31112020112221202
41103213012000
521102334310
62101440332
7354205052
oct123470600
945215852
1021918080
1111410418
1274100a8
1347054a2
142ca78d2
151dce3a5
hex14e7180

21918080 has 64 divisors (see below), whose sum is σ = 54712800. Its totient is φ = 8380416.

The previous prime is 21918079. The next prime is 21918101. The reversal of 21918080 is 8081912.

It is a tau number, because it is divible by the number of its divisors (64).

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, 13976 + ... + 15464.

Almost surely, 221918080 is an apocalyptic number.

21918080 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 21918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27356400).

21918080 is an abundant number, since it is smaller than the sum of its proper divisors (32794720).

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

21918080 is a wasteful number, since it uses less digits than its factorization.

21918080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 21918080 is about 4681.6749139597. The cubic root of 21918080 is about 279.8557079679.

Adding to 21918080 its reverse (8081912), we get a palindrome (29999992).

The spelling of 21918080 in words is "twenty-one million, nine hundred eighteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1489 1840 2944 2978 3680 5956 7360 7445 11912 14720 14890 23824 29780 34247 47648 59560 68494 95296 119120 136988 171235 190592 238240 273976 342470 476480 547952 684940 952960 1095904 1369880 2191808 2739760 4383616 5479520 10959040 21918080