Search a number
-
+
4089364560 = 243255679673
BaseRepresentation
bin1111001110111110…
…1100000001010000
3101112222212020120200
43303233230001100
531333334131220
61513441135200
7203224011441
oct36357540120
911488766520
104089364560
111809381136
1296162a500
135022b0358
142ab1772c8
1518e028890
hexf3bec050

4089364560 has 60 divisors (see below), whose sum is σ = 13733451732. Its totient is φ = 1090497024.

The previous prime is 4089364553. The next prime is 4089364577. The reversal of 4089364560 is 654639804.

4089364560 is a `hidden beast` number, since 4 + 0 + 89 + 3 + 6 + 4 + 560 = 666.

4089364560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2225197584 + 1864166976 = 47172^2 + 43176^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2839117 + ... + 2840556.

Almost surely, 24089364560 is an apocalyptic number.

4089364560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4089364560 is an abundant number, since it is smaller than the sum of its proper divisors (9644087172).

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

4089364560 is a wasteful number, since it uses less digits than its factorization.

4089364560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5679692 (or 5679683 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4089364560 is about 63948.1396132835. The cubic root of 4089364560 is about 1599.1355434476.

The spelling of 4089364560 in words is "four billion, eighty-nine million, three hundred sixty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 5679673 11359346 17039019 22718692 28398365 34078038 45437384 51117057 56796730 68156076 85195095 90874768 102234114 113593460 136312152 170390190 204468228 227186920 255585285 272624304 340780380 408936456 454373840 511170570 681560760 817872912 1022341140 1363121520 2044682280 4089364560