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21108720 = 2435281313
BaseRepresentation
bin101000010000…
…1011111110000
31110201102201110
41100201133300
520400434340
62032233320
7344264313
oct120413760
943642643
1021108720
1110a08326
12709b840
1344b0c89
142b3697a
151cbe680
hex14217f0

21108720 has 80 divisors (see below), whose sum is σ = 65879712. Its totient is φ = 5591040.

The previous prime is 21108707. The next prime is 21108749. The reversal of 21108720 is 2780112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 67284 + ... + 67596.

Almost surely, 221108720 is an apocalyptic number.

21108720 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 21108720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32939856).

21108720 is an abundant number, since it is smaller than the sum of its proper divisors (44770992).

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

21108720 is a wasteful number, since it uses less digits than its factorization.

21108720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 21108720 is about 4594.4227058467. The cubic root of 21108720 is about 276.3677098472.

Adding to 21108720 its reverse (2780112), we get a palindrome (23888832).

The spelling of 21108720 in words is "twenty-one million, one hundred eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 281 313 562 626 843 939 1124 1252 1405 1565 1686 1878 2248 2504 2810 3130 3372 3756 4215 4496 4695 5008 5620 6260 6744 7512 8430 9390 11240 12520 13488 15024 16860 18780 22480 25040 33720 37560 67440 75120 87953 175906 263859 351812 439765 527718 703624 879530 1055436 1319295 1407248 1759060 2110872 2638590 3518120 4221744 5277180 7036240 10554360 21108720