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16012692 = 22322383233
BaseRepresentation
bin111101000101…
…010110010100
31010010112021200
4331011112110
513044401232
61331112500
7253051143
oct75052624
933115250
1016012692
119047633
125442730
133418587
1421ab75a
15161477c
hexf45594

16012692 has 72 divisors (see below), whose sum is σ = 42928704. Its totient is φ = 5022336.

The previous prime is 16012681. The next prime is 16012693. The reversal of 16012692 is 29621061.

16012692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16012693) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68608 + ... + 68840.

It is an arithmetic number, because the mean of its divisors is an integer number (596232).

Almost surely, 216012692 is an apocalyptic number.

16012692 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 16012692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21464352).

16012692 is an abundant number, since it is smaller than the sum of its proper divisors (26916012).

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

16012692 is a wasteful number, since it uses less digits than its factorization.

16012692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 16012692 is about 4001.5861855019. The cubic root of 16012692 is about 252.0508211938.

The spelling of 16012692 in words is "sixteen million, twelve thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 83 92 138 166 207 233 249 276 332 414 466 498 699 747 828 932 996 1398 1494 1909 2097 2796 2988 3818 4194 5359 5727 7636 8388 10718 11454 16077 17181 19339 21436 22908 32154 34362 38678 48231 58017 64308 68724 77356 96462 116034 174051 192924 232068 348102 444797 696204 889594 1334391 1779188 2668782 4003173 5337564 8006346 16012692