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21088920 = 2335436167
BaseRepresentation
bin101000001110…
…0101010011000
31110200102120010
41100130222120
520344321140
62032001520
7344152506
oct120345230
943612503
1021088920
11109a4466
1270902a0
1344a4c68
142b2d676
151cb8880
hex141ca98

21088920 has 128 divisors (see below), whose sum is σ = 66781440. Its totient is φ = 5322240.

The previous prime is 21088913. The next prime is 21088943. The reversal of 21088920 is 2988012.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314727 + ... + 314793.

It is an arithmetic number, because the mean of its divisors is an integer number (521730).

Almost surely, 221088920 is an apocalyptic number.

21088920 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 21088920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33390720).

21088920 is an abundant number, since it is smaller than the sum of its proper divisors (45692520).

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

21088920 is a wasteful number, since it uses less digits than its factorization.

21088920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 21088920 is about 4592.2674138164. The cubic root of 21088920 is about 276.2812717545.

The spelling of 21088920 in words is "twenty-one million, eighty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 61 67 86 120 122 129 134 172 183 201 215 244 258 268 305 335 344 366 402 430 488 516 536 610 645 670 732 804 860 915 1005 1032 1220 1290 1340 1464 1608 1720 1830 2010 2440 2580 2623 2680 2881 3660 4020 4087 5160 5246 5762 7320 7869 8040 8174 8643 10492 11524 12261 13115 14405 15738 16348 17286 20435 20984 23048 24522 26230 28810 31476 32696 34572 39345 40870 43215 49044 52460 57620 61305 62952 69144 78690 81740 86430 98088 104920 115240 122610 157380 163480 172860 175741 245220 314760 345720 351482 490440 527223 702964 878705 1054446 1405928 1757410 2108892 2636115 3514820 4217784 5272230 7029640 10544460 21088920