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2686064240 = 245611134871
BaseRepresentation
bin1010000000011010…
…0001011001110000
320221012022012102202
42200012201121300
521000113023430
61122311402332
7123364112036
oct24006413160
96835265382
102686064240
111159238902
1262b6833a8
1333a647632
141b6a46556
1510ac30d45
hexa01a1670

2686064240 has 80 divisors (see below), whose sum is σ = 6404965056. Its totient is φ = 1047244800.

The previous prime is 2686064231. The next prime is 2686064263. The reversal of 2686064240 is 424606862.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×26860642402 = 14429882202813555200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2686064194 and 2686064203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549005 + ... + 553875.

Almost surely, 22686064240 is an apocalyptic number.

2686064240 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 2686064240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202482528).

2686064240 is an abundant number, since it is smaller than the sum of its proper divisors (3718900816).

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

2686064240 is a wasteful number, since it uses less digits than its factorization.

2686064240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 2686064240 is about 51827.2538342521. The cubic root of 2686064240 is about 1390.0768102751.

The spelling of 2686064240 in words is "two billion, six hundred eighty-six million, sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 113 122 226 244 305 452 488 565 610 904 976 1130 1220 1808 2260 2440 4520 4871 4880 6893 9040 9742 13786 19484 24355 27572 34465 38968 48710 55144 68930 77936 97420 110288 137860 194840 275720 297131 389680 550423 551440 594262 1100846 1188524 1485655 2201692 2377048 2752115 2971310 4403384 4754096 5504230 5942620 8806768 11008460 11885240 22016920 23770480 33575803 44033840 67151606 134303212 167879015 268606424 335758030 537212848 671516060 1343032120 2686064240