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16830612 = 22331789103
BaseRepresentation
bin100000000110…
…1000010010100
31011200002021000
41000031002110
513302034422
61400423300
7263025561
oct100150224
934602230
1016830612
1195560a7
125777b30
133643956
142341868
151726cac
hex100d094

16830612 has 96 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 5170176.

The previous prime is 16830607. The next prime is 16830617. The reversal of 16830612 is 21603861.

16830612 is a `hidden beast` number, since 16 + 8 + 30 + 612 = 666.

It is an interprime number because it is at equal distance from previous prime (16830607) and next prime (16830617).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16830617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163353 + ... + 163455.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 216830612 is an apocalyptic number.

16830612 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 16830612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

16830612 is an abundant number, since it is smaller than the sum of its proper divisors (30343788).

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

16830612 is a wasteful number, since it uses less digits than its factorization.

16830612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 16830612 is about 4102.5128884624. The cubic root of 16830612 is about 256.2712984875.

The spelling of 16830612 in words is "sixteen million, eight hundred thirty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 89 102 103 108 153 178 204 206 267 306 309 356 412 459 534 612 618 801 918 927 1068 1236 1513 1602 1751 1836 1854 2403 2781 3026 3204 3502 3708 4539 4806 5253 5562 6052 7004 9078 9167 9612 10506 11124 13617 15759 18156 18334 21012 27234 27501 31518 36668 40851 47277 54468 55002 63036 81702 82503 94554 110004 155839 163404 165006 189108 247509 311678 330012 467517 495018 623356 935034 990036 1402551 1870068 2805102 4207653 5610204 8415306 16830612