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16428780 = 22325107853
BaseRepresentation
bin111110101010…
…111011101100
31010220200001100
4332222323230
513201210110
61344043100
7256433214
oct76527354
933820040
1016428780
119301205
125603490
133532a94
142279244
151697bc0
hexfaaeec

16428780 has 72 divisors (see below), whose sum is σ = 50358672. Its totient is φ = 4334976.

The previous prime is 16428779. The next prime is 16428829. The reversal of 16428780 is 8782461.

16428780 is a `hidden beast` number, since 1 + 642 + 8 + 7 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18834 + ... + 19686.

It is an arithmetic number, because the mean of its divisors is an integer number (699426).

Almost surely, 216428780 is an apocalyptic number.

16428780 is a gapful number since it is divisible by the number (10) 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 16428780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25179336).

16428780 is an abundant number, since it is smaller than the sum of its proper divisors (33929892).

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

16428780 is a wasteful number, since it uses less digits than its factorization.

16428780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 16428780 is about 4053.2431459265. The cubic root of 16428780 is about 254.2153504642.

The spelling of 16428780 in words is "sixteen million, four hundred twenty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 853 963 1070 1284 1605 1706 1926 2140 2559 3210 3412 3852 4265 4815 5118 6420 7677 8530 9630 10236 12795 15354 17060 19260 25590 30708 38385 51180 76770 91271 153540 182542 273813 365084 456355 547626 821439 912710 1095252 1369065 1642878 1825420 2738130 3285756 4107195 5476260 8214390 16428780