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3090541680 = 243254292419
BaseRepresentation
bin1011100000110101…
…1110110001110000
321222101101210011200
42320031132301300
522312134313210
61230401011200
7136405112412
oct27015366160
97871353150
103090541680
111346591786
12723023b00
133a3395bb5
142146549b2
151314cb0c0
hexb835ec70

3090541680 has 60 divisors (see below), whose sum is σ = 10379071560. Its totient is φ = 824144256.

The previous prime is 3090541679. The next prime is 3090541693. The reversal of 3090541680 is 861450903.

3090541680 is a `hidden beast` number, since 30 + 9 + 0 + 541 + 6 + 80 = 666.

3090541680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36).

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, 2145490 + ... + 2146929.

It is an arithmetic number, because the mean of its divisors is an integer number (172984526).

Almost surely, 23090541680 is an apocalyptic number.

3090541680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3090541680 is an abundant number, since it is smaller than the sum of its proper divisors (7288529880).

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

3090541680 is a wasteful number, since it uses less digits than its factorization.

3090541680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292438 (or 4292429 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3090541680 is about 55592.6405201264. The cubic root of 3090541680 is about 1456.6153031744.

The spelling of 3090541680 in words is "three billion, ninety million, five hundred forty-one thousand, six hundred eighty".

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 4292419 8584838 12877257 17169676 21462095 25754514 34339352 38631771 42924190 51509028 64386285 68678704 77263542 85848380 103018056 128772570 154527084 171696760 193158855 206036112 257545140 309054168 343393520 386317710 515090280 618108336 772635420 1030180560 1545270840 3090541680