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21098040 = 23351091613
BaseRepresentation
bin101000001111…
…0111000111000
31110200220001220
41100132320320
520400114130
62032112040
7344221215
oct120367070
943626056
1021098040
1110a002a7
127095620
1344a9162
142b32b0c
151cbb410
hex141ee38

21098040 has 64 divisors (see below), whose sum is σ = 63914400. Its totient is φ = 5571072.

The previous prime is 21098017. The next prime is 21098047. The reversal of 21098040 is 4089012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21098040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21098047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12274 + ... + 13886.

Almost surely, 221098040 is an apocalyptic number.

21098040 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 21098040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31957200).

21098040 is an abundant number, since it is smaller than the sum of its proper divisors (42816360).

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

21098040 is a wasteful number, since it uses less digits than its factorization.

21098040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 21098040 is about 4593.2602800190. The cubic root of 21098040 is about 276.3210923818.

Subtracting from 21098040 its reverse (4089012), we obtain a triangular number (17009028 = T5832).

The spelling of 21098040 in words is "twenty-one million, ninety-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1613 1635 2180 2616 3226 3270 4360 4839 6452 6540 8065 9678 12904 13080 16130 19356 24195 32260 38712 48390 64520 96780 175817 193560 351634 527451 703268 879085 1054902 1406536 1758170 2109804 2637255 3516340 4219608 5274510 7032680 10549020 21098040