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2085696 = 26331771
BaseRepresentation
bin111111101001101000000
310220222001000
413331031000
51013220241
6112412000
723504514
oct7751500
93828030
102085696
1111a5018
12847000
13580452
143c4144
152b2eb6
hex1fd340

2085696 has 112 divisors (see below), whose sum is σ = 6583680. Its totient is φ = 645120.

The previous prime is 2085691. The next prime is 2085697. The reversal of 2085696 is 6965802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2085696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29341 + ... + 29411.

22085696 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 2085696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291840).

2085696 is an abundant number, since it is smaller than the sum of its proper divisors (4497984).

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

2085696 is a wasteful number, since it uses less digits than its factorization.

2085696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2085696 is about 1444.1938927997. The cubic root of 2085696 is about 127.7665013923.

The spelling of 2085696 in words is "two million, eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 71 72 96 102 108 136 142 144 153 192 204 213 216 272 284 288 306 408 426 432 459 544 568 576 612 639 816 852 864 918 1088 1136 1207 1224 1278 1632 1704 1728 1836 1917 2272 2414 2448 2556 3264 3408 3621 3672 3834 4544 4828 4896 5112 6816 7242 7344 7668 9656 9792 10224 10863 13632 14484 14688 15336 19312 20448 21726 28968 29376 30672 32589 38624 40896 43452 57936 61344 65178 77248 86904 115872 122688 130356 173808 231744 260712 347616 521424 695232 1042848 2085696