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2780114640 = 2435103911149
BaseRepresentation
bin1010010110110101…
…0010111011010000
321011202021110022220
42211231102323100
521143202132030
61135511301040
7125615404332
oct24555227320
97152243286
102780114640
1111a7336306
1265707a780
13353c87064
141c5329452
1511410ca10
hexa5b52ed0

2780114640 has 80 divisors (see below), whose sum is σ = 8627424000. Its totient is φ = 740583936.

The previous prime is 2780114591. The next prime is 2780114657. The reversal of 2780114640 is 464110872.

2780114640 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 (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243786 + ... + 254934.

It is an arithmetic number, because the mean of its divisors is an integer number (107842800).

Almost surely, 22780114640 is an apocalyptic number.

2780114640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2780114640 is an abundant number, since it is smaller than the sum of its proper divisors (5847309360).

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

2780114640 is a wasteful number, since it uses less digits than its factorization.

2780114640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12204 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2780114640 is about 52726.7924304144. The cubic root of 2780114640 is about 1406.1151955322.

The spelling of 2780114640 in words is "two billion, seven hundred eighty million, one hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1039 2078 3117 4156 5195 6234 8312 10390 11149 12468 15585 16624 20780 22298 24936 31170 33447 41560 44596 49872 55745 62340 66894 83120 89192 111490 124680 133788 167235 178384 222980 249360 267576 334470 445960 535152 668940 891920 1337880 2675760 11583811 23167622 34751433 46335244 57919055 69502866 92670488 115838110 139005732 173757165 185340976 231676220 278011464 347514330 463352440 556022928 695028660 926704880 1390057320 2780114640