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1364746460 = 225711886199
BaseRepresentation
bin101000101011000…
…0110000011011100
310112010000022012012
41101112012003130
510243333341320
6343231130352
745551103440
oct12126060334
93463008165
101364746460
11640400240
123210739b8
131899874ac
14cd376820
157ec2e4c5
hex515860dc

1364746460 has 48 divisors (see below), whose sum is σ = 3573158400. Its totient is φ = 425375040.

The previous prime is 1364746433. The next prime is 1364746477. The reversal of 1364746460 is 646474631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441560 + ... + 444639.

It is an arithmetic number, because the mean of its divisors is an integer number (74440800).

Almost surely, 21364746460 is an apocalyptic number.

1364746460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1364746460 is an abundant number, since it is smaller than the sum of its proper divisors (2208411940).

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

1364746460 is a wasteful number, since it uses less digits than its factorization.

1364746460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886226 (or 886224 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The square root of 1364746460 is about 36942.4750118343. The cubic root of 1364746460 is about 1109.2190649146.

The spelling of 1364746460 in words is "one billion, three hundred sixty-four million, seven hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 886199 1772398 3544796 4430995 6203393 8861990 9748189 12406786 17723980 19496378 24813572 31016965 38992756 48740945 62033930 68237323 97481890 124067860 136474646 194963780 272949292 341186615 682373230 1364746460