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2040947064 = 2333135631291
BaseRepresentation
bin111100110100110…
…0110000101111000
312021020101212001000
41321221212011320
513134440301224
6534304325000
7101401522662
oct17151460570
95236355030
102040947064
11958074812
1248b613760
13266ab2cb0
141550b7532
15be2a00c9
hex79a66178

2040947064 has 128 divisors (see below), whose sum is σ = 6120979200. Its totient is φ = 626382720.

The previous prime is 2040947033. The next prime is 2040947071. The reversal of 2040947064 is 4607490402.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1580259 + ... + 1581549.

It is an arithmetic number, because the mean of its divisors is an integer number (47820150).

Almost surely, 22040947064 is an apocalyptic number.

2040947064 is a gapful number since it is divisible by the number (24) 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 2040947064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060489600).

2040947064 is an abundant number, since it is smaller than the sum of its proper divisors (4080032136).

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

2040947064 is a wasteful number, since it uses less digits than its factorization.

2040947064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2040947064 is about 45176.8421207149. The cubic root of 2040947064 is about 1268.4613735005.

The spelling of 2040947064 in words is "two billion, forty million, nine hundred forty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 563 702 936 1126 1291 1404 1689 2252 2582 2808 3378 3873 4504 5067 5164 6756 7319 7746 10134 10328 11619 13512 14638 15201 15492 16783 20268 21957 23238 29276 30402 30984 33566 34857 40536 43914 46476 50349 58552 60804 65871 67132 69714 87828 92952 100698 121608 131742 134264 139428 151047 175656 197613 201396 263484 278856 302094 395226 402792 453141 526968 604188 726833 790452 906282 1208376 1453666 1580904 1812564 2180499 2907332 3625128 4360998 5814664 6541497 8721996 9448829 13082994 17443992 18897658 19624491 26165988 28346487 37795316 39248982 52331976 56692974 75590632 78497964 85039461 113385948 156995928 170078922 226771896 255118383 340157844 510236766 680315688 1020473532 2040947064