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2864055060 = 22325191137411
BaseRepresentation
bin1010101010110110…
…0000001100010100
321101121020001221100
42222231200030110
521331144230220
61152110350100
7130655031516
oct25255401424
97347201840
102864055060
11123a758a59
1267b1bb330
13368496b49
141d2539bb6
1511b68dd90
hexaab60314

2864055060 has 144 divisors (see below), whose sum is σ = 9227050560. Its totient is φ = 717050880.

The previous prime is 2864055053. The next prime is 2864055071. The reversal of 2864055060 is 605504682.

2864055060 is a `hidden beast` number, since 2 + 8 + 6 + 40 + 550 + 60 = 666.

It is a super-2 number, since 2×28640550602 = 16405622773423207200, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382755 + ... + 390165.

It is an arithmetic number, because the mean of its divisors is an integer number (64076740).

Almost surely, 22864055060 is an apocalyptic number.

2864055060 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 2864055060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613525280).

2864055060 is an abundant number, since it is smaller than the sum of its proper divisors (6362995500).

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

2864055060 is a wasteful number, since it uses less digits than its factorization.

2864055060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7558 (or 7553 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2864055060 is about 53516.8670607688. The cubic root of 2864055060 is about 1420.1267922226.

The spelling of 2864055060 in words is "two billion, eight hundred sixty-four million, fifty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 113 114 171 180 190 226 228 285 339 342 380 452 565 570 678 684 855 1017 1130 1140 1356 1695 1710 2034 2147 2260 3390 3420 4068 4294 5085 6441 6780 7411 8588 10170 10735 12882 14822 19323 20340 21470 22233 25764 29644 32205 37055 38646 42940 44466 64410 66699 74110 77292 88932 96615 111165 128820 133398 140809 148220 193230 222330 266796 281618 333495 386460 422427 444660 563236 666990 704045 837443 844854 1267281 1333980 1408090 1674886 1689708 2112135 2512329 2534562 2816180 3349772 4187215 4224270 5024658 5069124 6336405 7536987 8374430 8448540 10049316 12561645 12672810 15073974 15911417 16748860 25123290 25345620 30147948 31822834 37684935 47734251 50246580 63645668 75369870 79557085 95468502 143202753 150739740 159114170 190937004 238671255 286405506 318228340 477342510 572811012 716013765 954685020 1432027530 2864055060