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21345720 = 233511103157
BaseRepresentation
bin101000101101…
…1010110111000
31111011110211020
41101123112320
520431030340
62041302440
7346302264
oct121332670
944143736
1021345720
111105a3a0
127194a20
134564b06
142b990a4
151d199d0
hex145b5b8

21345720 has 128 divisors (see below), whose sum is σ = 70986240. Its totient is φ = 5091840.

The previous prime is 21345719. The next prime is 21345733. The reversal of 21345720 is 2754312.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135882 + ... + 136038.

It is an arithmetic number, because the mean of its divisors is an integer number (554580).

Almost surely, 221345720 is an apocalyptic number.

21345720 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 21345720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35493120).

21345720 is an abundant number, since it is smaller than the sum of its proper divisors (49640520).

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

21345720 is a wasteful number, since it uses less digits than its factorization.

21345720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 21345720 is about 4620.1428549342. The cubic root of 21345720 is about 277.3981770734.

The spelling of 21345720 in words is "twenty-one million, three hundred forty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 103 110 120 132 157 165 206 220 264 309 314 330 412 440 471 515 618 628 660 785 824 942 1030 1133 1236 1256 1320 1545 1570 1727 1884 2060 2266 2355 2472 3090 3140 3399 3454 3768 4120 4532 4710 5181 5665 6180 6280 6798 6908 8635 9064 9420 10362 11330 12360 13596 13816 16171 16995 17270 18840 20724 22660 25905 27192 32342 33990 34540 41448 45320 48513 51810 64684 67980 69080 80855 97026 103620 129368 135960 161710 177881 194052 207240 242565 323420 355762 388104 485130 533643 646840 711524 889405 970260 1067286 1423048 1778810 1940520 2134572 2668215 3557620 4269144 5336430 7115240 10672860 21345720