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16268340 = 2235111572
BaseRepresentation
bin111110000011…
…110000110100
31010121111222010
4332003300310
513131041330
61340404220
7255164364
oct76036064
933544863
1016268340
119201710
125546670
1334a7a4a
1422369a4
1516653b0
hexf83c34

16268340 has 72 divisors (see below), whose sum is σ = 50010912. Its totient is φ = 3918720.

The previous prime is 16268323. The next prime is 16268341. The reversal of 16268340 is 4386261.

16268340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16268298 and 16268307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16268341) 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, 103542 + ... + 103698.

It is an arithmetic number, because the mean of its divisors is an integer number (694596).

Almost surely, 216268340 is an apocalyptic number.

16268340 is a gapful number since it is divisible by the number (10) 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 16268340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25005456).

16268340 is an abundant number, since it is smaller than the sum of its proper divisors (33742572).

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

16268340 is a wasteful number, since it uses less digits than its factorization.

16268340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 16268340 is about 4033.4030297009. The cubic root of 16268340 is about 253.3851040702.

The spelling of 16268340 in words is "sixteen million, two hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 157 165 220 314 330 471 628 660 785 942 1570 1727 1884 2355 3140 3454 4710 5181 6908 8635 9420 10362 17270 20724 24649 25905 34540 49298 51810 73947 98596 103620 123245 147894 246490 271139 295788 369735 492980 542278 739470 813417 1084556 1355695 1478940 1626834 2711390 3253668 4067085 5422780 8134170 16268340