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16536042 = 2331971227
BaseRepresentation
bin111111000101…
…000111101010
31011010010012000
4333011013222
513213123132
61350231430
7260361015
oct77050752
934103160
1016536042
119374856
125655576
13356c853
1422a637c
1516b987c
hexfc51ea

16536042 has 64 divisors (see below), whose sum is σ = 39398400. Its totient is φ = 5125680.

The previous prime is 16536029. The next prime is 16536059. The reversal of 16536042 is 24063561.

16536042 is a `hidden beast` number, since 1 + 6 + 53 + 604 + 2 = 666.

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 = 16535997 and 16536015.

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, 72733 + ... + 72959.

It is an arithmetic number, because the mean of its divisors is an integer number (615600).

Almost surely, 216536042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16536042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699200).

16536042 is an abundant number, since it is smaller than the sum of its proper divisors (22862358).

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

16536042 is a wasteful number, since it uses less digits than its factorization.

16536042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 16536042 is about 4066.4532457659. The cubic root of 16536042 is about 254.7674003542.

The spelling of 16536042 in words is "sixteen million, five hundred thirty-six thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 71 114 142 171 213 227 342 426 454 513 639 681 1026 1278 1349 1362 1917 2043 2698 3834 4047 4086 4313 6129 8094 8626 12141 12258 12939 16117 24282 25878 32234 36423 38817 48351 72846 77634 96702 116451 145053 232902 290106 306223 435159 612446 870318 918669 1837338 2756007 5512014 8268021 16536042