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7312282020 = 2233550326921
BaseRepresentation
bin1101100111101100…
…01001000110100100
3200212121100102012000
412303312021012210
5104433421011040
63205331325300
7346130241321
oct66366110644
920777312160
107312282020
11311265778a
121500a50830
138c6c141c4
144d5209b48
152cbe52130
hex1b3d891a4

7312282020 has 96 divisors (see below), whose sum is σ = 22795395840. Its totient is φ = 1945992960.

The previous prime is 7312282013. The next prime is 7312282079. The reversal of 7312282020 is 202822137.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 258160 + ... + 285080.

It is an arithmetic number, because the mean of its divisors is an integer number (237452040).

Almost surely, 27312282020 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 7312282020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11397697920).

7312282020 is an abundant number, since it is smaller than the sum of its proper divisors (15483113820).

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

7312282020 is a wasteful number, since it uses less digits than its factorization.

7312282020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27442 (or 27434 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7312282020 is about 85511.8823322233. The cubic root of 7312282020 is about 1940.9647325589.

The spelling of 7312282020 in words is "seven billion, three hundred twelve million, two hundred eighty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 503 540 1006 1509 2012 2515 3018 4527 5030 6036 7545 9054 10060 13581 15090 18108 22635 26921 27162 30180 45270 53842 54324 67905 80763 90540 107684 134605 135810 161526 242289 269210 271620 323052 403815 484578 538420 726867 807630 969156 1211445 1453734 1615260 2422890 2907468 3634335 4845780 7268670 13541263 14537340 27082526 40623789 54165052 67706315 81247578 121871367 135412630 162495156 203118945 243742734 270825260 365614101 406237890 487485468 609356835 731228202 812475780 1218713670 1462456404 1828070505 2437427340 3656141010 7312282020