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2890758060 = 2232531518057
BaseRepresentation
bin1010110001001101…
…0111011110101100
321110110110201120100
42230103113132230
521410013224220
61154502551100
7131431016031
oct25423273654
97413421510
102890758060
111253837353
12688138490
13370b86238
141d5ccb388
1511dbb5d90
hexac4d77ac

2890758060 has 72 divisors (see below), whose sum is σ = 9051509376. Its totient is φ = 746000640.

The previous prime is 2890758037. The next prime is 2890758061. The reversal of 2890758060 is 608570982.

2890758060 is a `hidden beast` number, since 2 + 8 + 9 + 0 + 7 + 580 + 60 = 666.

It is a super-2 number, since 2×28907580602 = 16712964322909927200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2890757997 and 2890758015.

It is not an unprimeable number, because it can be changed into a prime (2890758061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253449 + ... + 264608.

It is an arithmetic number, because the mean of its divisors is an integer number (125715408).

Almost surely, 22890758060 is an apocalyptic number.

2890758060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2890758060 is an abundant number, since it is smaller than the sum of its proper divisors (6160751316).

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

2890758060 is a wasteful number, since it uses less digits than its factorization.

2890758060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518103 (or 518098 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2890758060 is about 53765.7703376414. The cubic root of 2890758060 is about 1424.5266608873.

The spelling of 2890758060 in words is "two billion, eight hundred ninety million, seven hundred fifty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 518057 1036114 1554171 2072228 2590285 3108342 4662513 5180570 6216684 7770855 9325026 10361140 15541710 16059767 18650052 23312565 31083420 32119534 46625130 48179301 64239068 80298835 93250260 96358602 144537903 160597670 192717204 240896505 289075806 321195340 481793010 578151612 722689515 963586020 1445379030 2890758060