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21790728 = 2333791277
BaseRepresentation
bin101001100100…
…0000000001000
31112000002021000
41103020000020
521034300403
62055015000
7353134551
oct123100010
945002230
1021790728
1111333773
12736a460
13468c52b
142c73328
151da67a3
hex14c8008

21790728 has 64 divisors (see below), whose sum is σ = 61344000. Its totient is φ = 7166016.

The previous prime is 21790711. The next prime is 21790801. The reversal of 21790728 is 82709712.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21790692 and 21790701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16426 + ... + 17702.

It is an arithmetic number, because the mean of its divisors is an integer number (958500).

Almost surely, 221790728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21790728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30672000).

21790728 is an abundant number, since it is smaller than the sum of its proper divisors (39553272).

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

21790728 is a wasteful number, since it uses less digits than its factorization.

21790728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 21790728 is about 4668.0539842637. The cubic root of 21790728 is about 279.3126337072.

The spelling of 21790728 in words is "twenty-one million, seven hundred ninety thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 237 316 474 632 711 948 1277 1422 1896 2133 2554 2844 3831 4266 5108 5688 7662 8532 10216 11493 15324 17064 22986 30648 34479 45972 68958 91944 100883 137916 201766 275832 302649 403532 605298 807064 907947 1210596 1815894 2421192 2723841 3631788 5447682 7263576 10895364 21790728