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2764242140 = 2251141306457
BaseRepresentation
bin1010010011000010…
…1111110011011100
321010122102001100112
42210300233303130
521130121222030
61134143145152
7125333445662
oct24460576334
97118361315
102764242140
111199385040
126518a51b8
133508ba54a
141c3196c32
15112a24a95
hexa4c2fcdc

2764242140 has 48 divisors (see below), whose sum is σ = 6487102944. Its totient is φ = 980659200.

The previous prime is 2764242133. The next prime is 2764242149. The reversal of 2764242140 is 412424672.

It is a junction number, because it is equal to n+sod(n) for n = 2764242097 and 2764242106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2764242149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144209 + ... + 162248.

It is an arithmetic number, because the mean of its divisors is an integer number (135147978).

Almost surely, 22764242140 is an apocalyptic number.

2764242140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2764242140 is an abundant number, since it is smaller than the sum of its proper divisors (3722860804).

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

2764242140 is a wasteful number, since it uses less digits than its factorization.

2764242140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306518 (or 306516 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 2764242140 is about 52576.0605218763. The cubic root of 2764242140 is about 1403.4341102763.

The spelling of 2764242140 in words is "two billion, seven hundred sixty-four million, two hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 306457 612914 1225828 1532285 3064570 3371027 6129140 6742054 12564737 13484108 16855135 25129474 33710270 50258948 62823685 67420540 125647370 138212107 251294740 276424214 552848428 691060535 1382121070 2764242140