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2674076040 = 2332571910331
BaseRepresentation
bin1001111101100011…
…0010100110001000
320220100202010201100
42133120302212020
520434030413130
61121202421400
7123160162026
oct23730624610
96810663640
102674076040
11115249a9a9
12627661860
1333800ab1c
141b5205716
15109b63c60
hex9f632988

2674076040 has 96 divisors (see below), whose sum is σ = 8703676800. Its totient is φ = 712026240.

The previous prime is 2674076039. The next prime is 2674076077. The reversal of 2674076040 is 406704762.

2674076040 is a `hidden beast` number, since 2 + 6 + 7 + 40 + 7 + 604 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2674075986 and 2674076004.

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, 253675 + ... + 264005.

It is an arithmetic number, because the mean of its divisors is an integer number (90663300).

Almost surely, 22674076040 is an apocalyptic number.

2674076040 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 2674076040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351838400).

2674076040 is an abundant number, since it is smaller than the sum of its proper divisors (6029600760).

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

2674076040 is a wasteful number, since it uses less digits than its factorization.

2674076040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11067 (or 11060 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2674076040 is about 51711.4691340325. The cubic root of 2674076040 is about 1388.0057041460.

The spelling of 2674076040 in words is "two billion, six hundred seventy-four million, seventy-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 719 1438 2157 2876 3595 4314 5752 6471 7190 8628 10331 10785 12942 14380 17256 20662 21570 25884 28760 30993 32355 41324 43140 51655 51768 61986 64710 82648 86280 92979 103310 123972 129420 154965 185958 206620 247944 258840 309930 371916 413240 464895 619860 743832 929790 1239720 1859580 3719160 7427989 14855978 22283967 29711956 37139945 44567934 59423912 66851901 74279890 89135868 111419835 133703802 148559780 178271736 222839670 267407604 297119560 334259505 445679340 534815208 668519010 891358680 1337038020 2674076040