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21988680 = 2335726177
BaseRepresentation
bin101001111100…
…0010101001000
31112101010210120
41103320111020
521112114210
62103143240
7354620640
oct123702510
945333716
1021988680
111145946a
127444b20
13472b66c
142cc5520
151de5270
hex14f8548

21988680 has 64 divisors (see below), whose sum is σ = 75392640. Its totient is φ = 5025792.

The previous prime is 21988657. The next prime is 21988697. The reversal of 21988680 is 8688912.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 12249 + ... + 13928.

It is an arithmetic number, because the mean of its divisors is an integer number (1178010).

Almost surely, 221988680 is an apocalyptic number.

21988680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21988680 is an abundant number, since it is smaller than the sum of its proper divisors (53403960).

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

21988680 is a wasteful number, since it uses less digits than its factorization.

21988680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26198 (or 26194 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 21988680 is about 4689.2088885013. The cubic root of 21988680 is about 280.1558656003.

It can be divided in two parts, 2198 and 8680, that added together give a triangular number (10878 = T147).

The spelling of 21988680 in words is "twenty-one million, nine hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 26177 52354 78531 104708 130885 157062 183239 209416 261770 314124 366478 392655 523540 549717 628248 732956 785310 916195 1047080 1099434 1465912 1570620 1832390 2198868 2748585 3141240 3664780 4397736 5497170 7329560 10994340 21988680