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2678828340 = 2235123136269
BaseRepresentation
bin1001111110101011…
…1010110100110100
320220200200120122110
42133222322310310
520441240001330
61121452331020
7123245444106
oct23752726464
96820616573
102678828340
111155146421
12629173a70
13338cb2c36
141b5ac1576
1510a2a1db0
hex9fabad34

2678828340 has 48 divisors (see below), whose sum is σ = 7507019520. Its totient is φ = 713754240.

The previous prime is 2678828323. The next prime is 2678828381. The reversal of 2678828340 is 438288762.

It is a happy number.

It is a super-2 number, since 2×26788283402 = 14352242550374311200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2678828340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55726 + ... + 91994.

It is an arithmetic number, because the mean of its divisors is an integer number (156396240).

Almost surely, 22678828340 is an apocalyptic number.

2678828340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2678828340 is an abundant number, since it is smaller than the sum of its proper divisors (4828191180).

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

2678828340 is a wasteful number, since it uses less digits than its factorization.

2678828340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37512 (or 37510 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 2678828340 is about 51757.3988913662. The cubic root of 2678828340 is about 1388.8274603611.

The spelling of 2678828340 in words is "two billion, six hundred seventy-eight million, eight hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1231 2462 3693 4924 6155 7386 12310 14772 18465 24620 36269 36930 72538 73860 108807 145076 181345 217614 362690 435228 544035 725380 1088070 2176140 44647139 89294278 133941417 178588556 223235695 267882834 446471390 535765668 669707085 892942780 1339414170 2678828340