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2136816 = 2432111971
BaseRepresentation
bin1000001001101011110000
311000120011100
420021223300
51021334231
6113444400
724106533
oct10115360
94016140
102136816
11122a470
12870700
1359a7b6
143d8a1a
152c31e6
hex209af0

2136816 has 120 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 604800.

The previous prime is 2136811. The next prime is 2136817. The reversal of 2136816 is 6186312.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2136816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136811) 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, 30061 + ... + 30131.

It is an arithmetic number, because the mean of its divisors is an integer number (58032).

22136816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

2136816 is an abundant number, since it is smaller than the sum of its proper divisors (4827024).

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

2136816 is a wasteful number, since it uses less digits than its factorization.

2136816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

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

The square root of 2136816 is about 1461.7852099402. The cubic root of 2136816 is about 128.8019314809.

The spelling of 2136816 in words is "two million, one hundred thirty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 71 72 76 88 99 114 132 142 144 152 171 176 198 209 213 228 264 284 304 342 396 418 426 456 528 568 627 639 684 781 792 836 852 912 1136 1254 1278 1349 1368 1562 1584 1672 1704 1881 2343 2508 2556 2698 2736 3124 3344 3408 3762 4047 4686 5016 5112 5396 6248 7029 7524 8094 9372 10032 10224 10792 12141 12496 14058 14839 15048 16188 18744 21584 24282 28116 29678 30096 32376 37488 44517 48564 56232 59356 64752 89034 97128 112464 118712 133551 178068 194256 237424 267102 356136 534204 712272 1068408 2136816