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8020468080 = 2432517655267
BaseRepresentation
bin1110111100000111…
…01010000101110000
3202200221220222211100
413132003222011300
5112411214434310
63403510244400
7402516565602
oct73603520560
922627828740
108020468080
113446388419
12167a056700
139aa85b601
145612b5172
1531e1deec0
hex1de0ea170

8020468080 has 120 divisors (see below), whose sum is σ = 28519884432. Its totient is φ = 2012977152.

The previous prime is 8020468031. The next prime is 8020468103. The reversal of 8020468080 is 808640208.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 315394 + ... + 339873.

Almost surely, 28020468080 is an apocalyptic number.

8020468080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8020468080 is an abundant number, since it is smaller than the sum of its proper divisors (20499416352).

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

8020468080 is a wasteful number, since it uses less digits than its factorization.

8020468080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655303 (or 655294 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8020468080 is about 89557.0660528805. The cubic root of 8020468080 is about 2001.7042207367.

It can be divided in two parts, 8020 and 468080, that added together give a square (476100 = 6902).

The spelling of 8020468080 in words is "eight billion, twenty million, four hundred sixty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 655267 1310534 1965801 2621068 3276335 3931602 5242136 5897403 6552670 7863204 9829005 10484272 11139539 11794806 13105340 15726408 19658010 22279078 23589612 26210680 29487015 31452816 33418617 39316020 44558156 47179224 52421360 55697695 58974030 66837234 78632040 89116312 94358448 100255851 111395390 117948060 133674468 157264080 167093085 178232624 200511702 222790780 235896120 267348936 334186170 401023404 445581560 471792240 501279255 534697872 668372340 802046808 891163120 1002558510 1336744680 1604093616 2005117020 2673489360 4010234040 8020468080