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5640742020 = 2235313139689
BaseRepresentation
bin1010100000011011…
…01110010010000100
3112120010001101101010
411100031232102010
543023012221040
62331420402220
7256532342004
oct52015562204
915503041333
105640742020
112435062a71
1211150a6370
136bb820994
143b7212004
15230320e80
hex15036e484

5640742020 has 96 divisors (see below), whose sum is σ = 16357340160. Its totient is φ = 1450874880.

The previous prime is 5640742007. The next prime is 5640742033. The reversal of 5640742020 is 202470465.

It is an interprime number because it is at equal distance from previous prime (5640742007) and next prime (5640742033).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 577336 + ... + 587024.

It is an arithmetic number, because the mean of its divisors is an integer number (170388960).

Almost surely, 25640742020 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 5640742020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8178670080).

5640742020 is an abundant number, since it is smaller than the sum of its proper divisors (10716598140).

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

5640742020 is a wasteful number, since it uses less digits than its factorization.

5640742020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10045 (or 10043 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 5640742020 is about 75104.8734770254. The cubic root of 5640742020 is about 1780.1041495261.

The spelling of 5640742020 in words is "five billion, six hundred forty million, seven hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 313 372 465 620 626 930 939 1252 1565 1860 1878 3130 3756 4695 6260 9390 9689 9703 18780 19378 19406 29067 29109 38756 38812 48445 48515 58134 58218 96890 97030 116268 116436 145335 145545 193780 194060 290670 291090 300359 581340 582180 600718 901077 1201436 1501795 1802154 3003590 3032657 3604308 4505385 6007180 6065314 9010770 9097971 12130628 15163285 18021540 18195942 30326570 36391884 45489855 60653140 90979710 94012367 181959420 188024734 282037101 376049468 470061835 564074202 940123670 1128148404 1410185505 1880247340 2820371010 5640742020