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16860042 = 2334353137
BaseRepresentation
bin100000001010…
…0001110001010
31011201120122000
41000110032022
513304010132
61401211430
7263210433
oct100241612
934646560
1016860042
119576221
125790b76
133654174
14234c48a
15173087c
hex101438a

16860042 has 64 divisors (see below), whose sum is σ = 39346560. Its totient is φ = 5346432.

The previous prime is 16860037. The next prime is 16860047. The reversal of 16860042 is 24006861.

16860042 is a `hidden beast` number, since 16 + 8 + 600 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (16860037) and next prime (16860047).

It is a super-2 number, since 2×168600422 = 568522032483528, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 16859988 and 16860015.

It is not an unprimeable number, because it can be changed into a prime (16860047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122998 + ... + 123134.

It is an arithmetic number, because the mean of its divisors is an integer number (614790).

Almost surely, 216860042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16860042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19673280).

16860042 is an abundant number, since it is smaller than the sum of its proper divisors (22486518).

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

16860042 is a wasteful number, since it uses less digits than its factorization.

16860042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 16860042 is about 4106.0981478771. The cubic root of 16860042 is about 256.4205834642.

The spelling of 16860042 in words is "sixteen million, eight hundred sixty thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 43 53 54 86 106 129 137 159 258 274 318 387 411 477 774 822 954 1161 1233 1431 2279 2322 2466 2862 3699 4558 5891 6837 7261 7398 11782 13674 14522 17673 20511 21783 35346 41022 43566 53019 61533 65349 106038 123066 130698 159057 196047 312223 318114 392094 624446 936669 1873338 2810007 5620014 8430021 16860042