Search a number
-
+
2680048840 = 235722734211
BaseRepresentation
bin1001111110111110…
…0100110011001000
320220202222120212011
42133233210303020
520442043030330
61121534425304
7123262016320
oct23757446310
96822876764
102680048840
1111558aa3a7
12629662234
1333931c621
141b5d1c280
1510a44382a
hex9fbe4cc8

2680048840 has 64 divisors (see below), whose sum is σ = 6896223360. Its totient is φ = 918251520.

The previous prime is 2680048807. The next prime is 2680048867. The reversal of 2680048840 is 488400862.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

2680048840 is a modest number, since divided by 48840 gives 2680 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2680048793 and 2680048802.

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, 634335 + ... + 638545.

It is an arithmetic number, because the mean of its divisors is an integer number (107753490).

Almost surely, 22680048840 is an apocalyptic number.

2680048840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2680048840 is an abundant number, since it is smaller than the sum of its proper divisors (4216174520).

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

2680048840 is a wasteful number, since it uses less digits than its factorization.

2680048840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6502 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 2680048840 is about 51769.1881334834. The cubic root of 2680048840 is about 1389.0383493937.

The spelling of 2680048840 in words is "two billion, six hundred eighty million, forty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2273 4211 4546 8422 9092 11365 15911 16844 18184 21055 22730 29477 31822 33688 42110 45460 58954 63644 79555 84220 90920 117908 127288 147385 159110 168440 235816 294770 318220 589540 636440 1179080 9571603 19143206 38286412 47858015 67001221 76572824 95716030 134002442 191432060 268004884 335006105 382864120 536009768 670012210 1340024420 2680048840