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5820678480 = 24351011092203
BaseRepresentation
bin1010110101111000…
…01000000101010000
3120000122122002210110
411122330020011100
543410043202410
62401325201320
7264145644051
oct53274100520
916018562713
105820678480
112517691991
121165400240
13719ba1966
143d3090728
15241015720
hex15af08150

5820678480 has 160 divisors (see below), whose sum is σ = 18398286720. Its totient is φ = 1522022400.

The previous prime is 5820678469. The next prime is 5820678497. The reversal of 5820678480 is 848760285.

It is a super-2 number, since 2×58206784802 = 67760595935070220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 2641059 + ... + 2643261.

It is an arithmetic number, because the mean of its divisors is an integer number (114989292).

Almost surely, 25820678480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5820678480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9199143360).

5820678480 is an abundant number, since it is smaller than the sum of its proper divisors (12577608240).

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

5820678480 is a wasteful number, since it uses less digits than its factorization.

5820678480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 5820678480 is about 76293.3711406175. The cubic root of 5820678480 is about 1798.8344800437.

The spelling of 5820678480 in words is "five billion, eight hundred twenty million, six hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 109 120 202 218 240 303 327 404 436 505 545 606 654 808 872 1010 1090 1212 1308 1515 1616 1635 1744 2020 2180 2203 2424 2616 3030 3270 4040 4360 4406 4848 5232 6060 6540 6609 8080 8720 8812 11009 11015 12120 13080 13218 17624 22018 22030 24240 26160 26436 33027 33045 35248 44036 44060 52872 55045 66054 66090 88072 88120 105744 110090 132108 132180 165135 176144 176240 220180 222503 240127 264216 264360 330270 440360 445006 480254 528432 528720 660540 667509 720381 880720 890012 960508 1112515 1200635 1321080 1335018 1440762 1780024 1921016 2225030 2401270 2642160 2670036 2881524 3337545 3560048 3601905 3842032 4450060 4802540 5340072 5763048 6675090 7203810 8900120 9605080 10680144 11526096 13350180 14407620 17800240 19210160 24252827 26700360 28815240 48505654 53400720 57630480 72758481 97011308 121264135 145516962 194022616 242528270 291033924 363792405 388045232 485056540 582067848 727584810 970113080 1164135696 1455169620 1940226160 2910339240 5820678480