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2605342680 = 2332525932791
BaseRepresentation
bin1001101101001010…
…0101111111011000
320201120102010021100
42123102211333120
520313431431210
61110305311400
7121364022153
oct23322457730
96646363240
102605342680
111117714576
12608635560
133269c39b5
141aa032c9a
15103ad85c0
hex9b4a5fd8

2605342680 has 96 divisors (see below), whose sum is σ = 8473664160. Its totient is φ = 694241280.

The previous prime is 2605342669. The next prime is 2605342699. The reversal of 2605342680 is 862435062.

2605342680 is a `hidden beast` number, since 2 + 60 + 534 + 2 + 68 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 932085 + ... + 934875.

It is an arithmetic number, because the mean of its divisors is an integer number (88267335).

Almost surely, 22605342680 is an apocalyptic number.

2605342680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2605342680 is an abundant number, since it is smaller than the sum of its proper divisors (5868321480).

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

2605342680 is a wasteful number, since it uses less digits than its factorization.

2605342680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5401 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2605342680 is about 51042.5575378037. The cubic root of 2605342680 is about 1376.0100884311.

The spelling of 2605342680 in words is "two billion, six hundred five million, three hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2593 2791 5186 5582 7779 8373 10372 11164 12965 13955 15558 16746 20744 22328 23337 25119 25930 27910 31116 33492 38895 41865 46674 50238 51860 55820 62232 66984 77790 83730 93348 100476 103720 111640 116685 125595 155580 167460 186696 200952 233370 251190 311160 334920 466740 502380 933480 1004760 7237063 14474126 21711189 28948252 36185315 43422378 57896504 65133567 72370630 86844756 108555945 130267134 144741260 173689512 217111890 260534268 289482520 325667835 434223780 521068536 651335670 868447560 1302671340 2605342680