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2677070240 = 255131775709
BaseRepresentation
bin1001111110010000…
…1101100110100000
320220120101020222122
42133210031212200
520440312221430
61121350523412
7123224502335
oct23744154640
96816336878
102677070240
111154155549
12628666568
13338818940
141b578498c
1510a055ee5
hex9f90d9a0

2677070240 has 96 divisors (see below), whose sum is σ = 7211831760. Its totient is φ = 930299904.

The previous prime is 2677070239. The next prime is 2677070261. The reversal of 2677070240 is 420707762.

It can be written as a sum of positive squares in 8 ways, for example, as 1552675216 + 1124395024 = 39404^2 + 33532^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2677070240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2495 + ... + 73214.

Almost surely, 22677070240 is an apocalyptic number.

2677070240 is a gapful number since it is divisible by the number (20) 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 2677070240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605915880).

2677070240 is an abundant number, since it is smaller than the sum of its proper divisors (4534761520).

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

2677070240 is a wasteful number, since it uses less digits than its factorization.

2677070240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75754 (or 75746 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 35.

The square root of 2677070240 is about 51740.4120586607. The cubic root of 2677070240 is about 1388.5235673153.

The spelling of 2677070240 in words is "two billion, six hundred seventy-seven million, seventy thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 65 68 80 85 104 130 136 160 170 208 221 260 272 340 416 442 520 544 680 884 1040 1105 1360 1768 2080 2210 2720 3536 4420 7072 8840 17680 35360 75709 151418 302836 378545 605672 757090 984217 1211344 1287053 1514180 1968434 2422688 2574106 3028360 3936868 4921085 5148212 6056720 6435265 7873736 9842170 10296424 12113440 12870530 15747472 16731689 19684340 20592848 25741060 31494944 33463378 39368680 41185696 51482120 66926756 78737360 83658445 102964240 133853512 157474720 167316890 205928480 267707024 334633780 535414048 669267560 1338535120 2677070240