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16116672 = 2631113587
BaseRepresentation
bin111101011110…
…101111000000
31010022210220210
4331132233000
513111213142
61333234120
7253663245
oct75365700
933283823
1016116672
119108770
125492940
1334539c0
1421d75cc
15163549c
hexf5ebc0

16116672 has 112 divisors (see below), whose sum is σ = 50182272. Its totient is φ = 4500480.

The previous prime is 16116643. The next prime is 16116673. The reversal of 16116672 is 27661161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16116673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27163 + ... + 27749.

It is an arithmetic number, because the mean of its divisors is an integer number (448056).

Almost surely, 216116672 is an apocalyptic number.

16116672 is a gapful number since it is divisible by the number (12) 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 16116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25091136).

16116672 is an abundant number, since it is smaller than the sum of its proper divisors (34065600).

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

16116672 is a wasteful number, since it uses less digits than its factorization.

16116672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 616 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 16116672 is about 4014.5575098633. The cubic root of 16116672 is about 252.5952168426.

The spelling of 16116672 in words is "sixteen million, one hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 587 624 704 832 858 1056 1144 1174 1248 1716 1761 2112 2288 2348 2496 3432 3522 4576 4696 6457 6864 7044 7631 9152 9392 12914 13728 14088 15262 18784 19371 22893 25828 27456 28176 30524 37568 38742 45786 51656 56352 61048 77484 83941 91572 103312 112704 122096 154968 167882 183144 206624 244192 251823 309936 335764 366288 413248 488384 503646 619872 671528 732576 1007292 1239744 1343056 1465152 2014584 2686112 4029168 5372224 8058336 16116672