Search a number
-
+
2680375632 = 2431115133619
BaseRepresentation
bin1001111111000011…
…0100100101010000
320220210121012010120
42133300310211100
520442134010012
61121545430240
7123264550134
oct23760644520
96823535116
102680375632
111156002980
1262979b380
133394052ac
141b5da53c4
1510a4aa58c
hex9fc34950

2680375632 has 80 divisors (see below), whose sum is σ = 7604037120. Its totient is φ = 806832000.

The previous prime is 2680375627. The next prime is 2680375651. The reversal of 2680375632 is 2365730862.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 62919 + ... + 96537.

It is an arithmetic number, because the mean of its divisors is an integer number (95050464).

Almost surely, 22680375632 is an apocalyptic number.

2680375632 is a gapful number since it is divisible by the number (22) 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 2680375632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802018560).

2680375632 is an abundant number, since it is smaller than the sum of its proper divisors (4923661488).

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

2680375632 is a wasteful number, since it uses less digits than its factorization.

2680375632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33792 (or 33786 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 2680375632 is about 51772.3442776160. The cubic root of 2680375632 is about 1389.0948046051.

The spelling of 2680375632 in words is "two billion, six hundred eighty million, three hundred seventy-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 151 176 264 302 453 528 604 906 1208 1661 1812 2416 3322 3624 4983 6644 7248 9966 13288 19932 26576 33619 39864 67238 79728 100857 134476 201714 268952 369809 403428 537904 739618 806856 1109427 1479236 1613712 2218854 2958472 4437708 5076469 5916944 8875416 10152938 15229407 17750832 20305876 30458814 40611752 55841159 60917628 81223504 111682318 121835256 167523477 223364636 243670512 335046954 446729272 670093908 893458544 1340187816 2680375632