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16068672 = 263317547
BaseRepresentation
bin111101010011…
…000001000000
31010020101002000
4331103001000
513103144142
61332224000
7253403304
oct75230100
933211060
1016068672
1190856a4
12546b000
133437bb9
1421c3d04
15162614c
hexf53040

16068672 has 112 divisors (see below), whose sum is σ = 50109120. Its totient is φ = 5031936.

The previous prime is 16068667. The next prime is 16068673. The reversal of 16068672 is 27686061.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16068673) 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, 29103 + ... + 29649.

Almost surely, 216068672 is an apocalyptic number.

16068672 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 16068672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25054560).

16068672 is an abundant number, since it is smaller than the sum of its proper divisors (34040448).

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

16068672 is a wasteful number, since it uses less digits than its factorization.

16068672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 16068672 is about 4008.5748090812. The cubic root of 16068672 is about 252.3442008519.

The spelling of 16068672 in words is "sixteen million, sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 547 576 612 816 864 918 1088 1094 1224 1632 1641 1728 1836 2188 2448 3264 3282 3672 4376 4896 4923 6564 7344 8752 9299 9792 9846 13128 14688 14769 17504 18598 19692 26256 27897 29376 29538 35008 37196 39384 52512 55794 59076 74392 78768 83691 105024 111588 118152 148784 157536 167382 223176 236304 251073 297568 315072 334764 446352 472608 502146 595136 669528 892704 945216 1004292 1339056 1785408 2008584 2678112 4017168 5356224 8034336 16068672