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21239680 = 275711431
BaseRepresentation
bin101000100000…
…1011110000000
31110222002100211
41101001132000
520414132210
62035123504
7345351160
oct121013600
943862324
1021239680
1110a97760
127143594
134528777
142b6c5a0
151ce838a
hex1441780

21239680 has 128 divisors (see below), whose sum is σ = 63452160. Its totient is φ = 6604800.

The previous prime is 21239671. The next prime is 21239689. The reversal of 21239680 is 8693212.

It is an interprime number because it is at equal distance from previous prime (21239671) and next prime (21239689).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×212396802 = 902248013004800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21239689) 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, 49065 + ... + 49495.

It is an arithmetic number, because the mean of its divisors is an integer number (495720).

Almost surely, 221239680 is an apocalyptic number.

21239680 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 21239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31726080).

21239680 is an abundant number, since it is smaller than the sum of its proper divisors (42212480).

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

21239680 is a wasteful number, since it uses less digits than its factorization.

21239680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 21239680 is about 4608.6527315475. The cubic root of 21239680 is about 276.9380669315.

The spelling of 21239680 in words is "twenty-one million, two hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 431 440 448 560 616 640 704 770 862 880 896 1120 1232 1408 1540 1724 1760 2155 2240 2464 3017 3080 3448 3520 4310 4480 4741 4928 6034 6160 6896 7040 8620 9482 9856 12068 12320 13792 15085 17240 18964 23705 24136 24640 27584 30170 33187 34480 37928 47410 48272 49280 55168 60340 66374 68960 75856 94820 96544 120680 132748 137920 151712 165935 189640 193088 241360 265496 275840 303424 331870 379280 386176 482720 530992 606848 663740 758560 965440 1061984 1327480 1517120 1930880 2123968 2654960 3034240 4247936 5309920 10619840 21239680