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16268130 = 23252329271
BaseRepresentation
bin111110000011…
…101101100010
31010121111200100
4332003231202
513131040010
61340403230
7255163644
oct76035542
933544610
1016268130
11920153a
125546516
1334a7918
142236894
1516652c0
hexf83b62

16268130 has 96 divisors (see below), whose sum is σ = 45826560. Its totient is φ = 3991680.

The previous prime is 16268117. The next prime is 16268137. The reversal of 16268130 is 3186261.

16268130 is a `hidden beast` number, since 1 + 626 + 8 + 1 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16268094 and 16268103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16268137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59895 + ... + 60165.

It is an arithmetic number, because the mean of its divisors is an integer number (477360).

Almost surely, 216268130 is an apocalyptic number.

16268130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16268130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913280).

16268130 is an abundant number, since it is smaller than the sum of its proper divisors (29558430).

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

16268130 is a wasteful number, since it uses less digits than its factorization.

16268130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 333 counting only the distinct ones).

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

The square root of 16268130 is about 4033.3769970088. The cubic root of 16268130 is about 253.3840137909.

The spelling of 16268130 in words is "sixteen million, two hundred sixty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 29 30 45 46 58 69 87 90 115 138 145 174 207 230 261 271 290 345 414 435 522 542 667 690 813 870 1035 1305 1334 1355 1626 2001 2070 2439 2610 2710 3335 4002 4065 4878 6003 6233 6670 7859 8130 10005 12006 12195 12466 15718 18699 20010 23577 24390 30015 31165 37398 39295 47154 56097 60030 62330 70731 78590 93495 112194 117885 141462 180757 186990 235770 280485 353655 361514 542271 560970 707310 903785 1084542 1626813 1807570 2711355 3253626 5422710 8134065 16268130