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16274016 = 2532112467
BaseRepresentation
bin111110000101…
…001001100000
31010121210202100
4332011021200
513131232031
61340450400
7255220053
oct76051140
933553670
1016274016
119205a00
125549a00
1334aa4c5
142238a9a
151666de6
hexf85260

16274016 has 108 divisors (see below), whose sum is σ = 50977836. Its totient is φ = 4920960.

The previous prime is 16274009. The next prime is 16274023. The reversal of 16274016 is 61047261.

It is an interprime number because it is at equal distance from previous prime (16274009) and next prime (16274023).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34615 + ... + 35081.

It is an arithmetic number, because the mean of its divisors is an integer number (472017).

Almost surely, 216274016 is an apocalyptic number.

16274016 is a gapful number since it is divisible by the number (16) 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 16274016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25488918).

16274016 is an abundant number, since it is smaller than the sum of its proper divisors (34703820).

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

16274016 is a wasteful number, since it uses less digits than its factorization.

16274016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 16274016 is about 4034.1065925431. The cubic root of 16274016 is about 253.4145692076.

The spelling of 16274016 in words is "sixteen million, two hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 467 484 528 726 792 934 968 1056 1089 1401 1452 1584 1868 1936 2178 2802 2904 3168 3736 3872 4203 4356 5137 5604 5808 7472 8406 8712 10274 11208 11616 14944 15411 16812 17424 20548 22416 30822 33624 34848 41096 44832 46233 56507 61644 67248 82192 92466 113014 123288 134496 164384 169521 184932 226028 246576 339042 369864 452056 493152 508563 678084 739728 904112 1017126 1356168 1479456 1808224 2034252 2712336 4068504 5424672 8137008 16274016