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2680704 = 273213179
BaseRepresentation
bin1010001110011110000000
312001012020100
422032132000
51141240304
6133242400
731533315
oct12163600
95035210
102680704
111571064
12a93400
1372b220
144dad0c
1537e439
hex28e780

2680704 has 96 divisors (see below), whose sum is σ = 8353800. Its totient is φ = 820224.

The previous prime is 2680697. The next prime is 2680709. The reversal of 2680704 is 4070862.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14887 + ... + 15065.

22680704 is an apocalyptic number.

2680704 is a gapful number since it is divisible by the number (24) 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 2680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176900).

2680704 is an abundant number, since it is smaller than the sum of its proper divisors (5673096).

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

2680704 is a wasteful number, since it uses less digits than its factorization.

2680704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2680704 is about 1637.2855584778. The cubic root of 2680704 is about 138.9151527458.

The spelling of 2680704 in words is "two million, six hundred eighty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 179 192 208 234 288 312 358 384 416 468 537 576 624 716 832 936 1074 1152 1248 1432 1611 1664 1872 2148 2327 2496 2864 3222 3744 4296 4654 4992 5728 6444 6981 7488 8592 9308 11456 12888 13962 14976 17184 18616 20943 22912 25776 27924 34368 37232 41886 51552 55848 68736 74464 83772 103104 111696 148928 167544 206208 223392 297856 335088 446784 670176 893568 1340352 2680704