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2680992 = 253329107
BaseRepresentation
bin1010001110100010100000
312001012122000
422032202200
51141242432
6133244000
731534206
oct12164240
95035560
102680992
1115712a6
12a93600
1372b3b2
144db076
1537e57c
hex28e8a0

2680992 has 96 divisors (see below), whose sum is σ = 8164800. Its totient is φ = 854784.

The previous prime is 2680991. The next prime is 2680999. The reversal of 2680992 is 2990862.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25003 + ... + 25109.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

22680992 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 2680992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082400).

2680992 is an abundant number, since it is smaller than the sum of its proper divisors (5483808).

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

2680992 is a wasteful number, since it uses less digits than its factorization.

2680992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2680992 is about 1637.3735065647. The cubic root of 2680992 is about 138.9201273260.

It can be divided in two parts, 26 and 80992, that added together give a palindrome (81018).

The spelling of 2680992 in words is "two million, six hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 107 108 116 144 174 214 216 232 261 288 321 348 428 432 464 522 642 696 783 856 864 928 963 1044 1284 1392 1566 1712 1926 2088 2568 2784 2889 3103 3132 3424 3852 4176 5136 5778 6206 6264 7704 8352 9309 10272 11556 12412 12528 15408 18618 23112 24824 25056 27927 30816 37236 46224 49648 55854 74472 83781 92448 99296 111708 148944 167562 223416 297888 335124 446832 670248 893664 1340496 2680992