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21230960 = 2451767233
BaseRepresentation
bin101000011111…
…1010101110000
31110221122101212
41100333111300
520413342320
62035015252
7345313562
oct120772560
943848355
1021230960
1110a91153
12713a528
1345247ca
142b69332
151ce59c5
hex143f570

21230960 has 80 divisors (see below), whose sum is σ = 53273376. Its totient is φ = 7839744.

The previous prime is 21230959. The next prime is 21230969. The reversal of 21230960 is 6903212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21230969) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 91004 + ... + 91236.

Almost surely, 221230960 is an apocalyptic number.

21230960 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 21230960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26636688).

21230960 is an abundant number, since it is smaller than the sum of its proper divisors (32042416).

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

21230960 is a wasteful number, since it uses less digits than its factorization.

21230960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 21230960 is about 4607.7065878808. The cubic root of 21230960 is about 276.9001625547.

The spelling of 21230960 in words is "twenty-one million, two hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 67 68 80 85 134 136 170 233 268 272 335 340 466 536 670 680 932 1072 1139 1165 1340 1360 1864 2278 2330 2680 3728 3961 4556 4660 5360 5695 7922 9112 9320 11390 15611 15844 18224 18640 19805 22780 31222 31688 39610 45560 62444 63376 78055 79220 91120 124888 156110 158440 249776 265387 312220 316880 530774 624440 1061548 1248880 1326935 2123096 2653870 4246192 5307740 10615480 21230960