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20917116 = 2234115869
BaseRepresentation
bin100111111001…
…0101101111100
31110100200220000
41033302231330
520323321431
62024154300
7342535563
oct117625574
943320800
1020917116
1110897380
127008990
1344449bc
142ac6bda
151c829e6
hex13f2b7c

20917116 has 60 divisors (see below), whose sum is σ = 59662680. Its totient is φ = 6337440.

The previous prime is 20917087. The next prime is 20917121. The reversal of 20917116 is 61171902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 20917116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 630 + ... + 6498.

It is an arithmetic number, because the mean of its divisors is an integer number (994378).

Almost surely, 220917116 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 20917116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29831340).

20917116 is an abundant number, since it is smaller than the sum of its proper divisors (38745564).

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

20917116 is a wasteful number, since it uses less digits than its factorization.

20917116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 20917116 is about 4573.5233682578. The cubic root of 20917116 is about 275.5289697392.

The spelling of 20917116 in words is "twenty million, nine hundred seventeen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 5869 11738 17607 23476 35214 52821 64559 70428 105642 129118 158463 193677 211284 258236 316926 387354 475389 581031 633852 774708 950778 1162062 1743093 1901556 2324124 3486186 5229279 6972372 10458558 20917116