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1364379360 = 253519149603
BaseRepresentation
bin101000101010010…
…1100011011100000
310112002022122121220
41101110230123200
510243240114420
6343215215040
745545014251
oct12124543340
93462278556
101364379360
1164017a453
12320b17480
13189889386
14cd2bcb28
157ebaa840
hex5152c6e0

1364379360 has 96 divisors (see below), whose sum is σ = 4524024960. Its totient is φ = 344683008.

The previous prime is 1364379323. The next prime is 1364379413. The reversal of 1364379360 is 639734631.

1364379360 is digitally balanced in base 6, 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 (96).

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, 65682 + ... + 83921.

It is an arithmetic number, because the mean of its divisors is an integer number (47125260).

Almost surely, 21364379360 is an apocalyptic number.

1364379360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1364379360 is an abundant number, since it is smaller than the sum of its proper divisors (3159645600).

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

1364379360 is a wasteful number, since it uses less digits than its factorization.

1364379360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149640 (or 149632 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 42.

The square root of 1364379360 is about 36937.5061421315. The cubic root of 1364379360 is about 1109.1196005705.

The spelling of 1364379360 in words is "one billion, three hundred sixty-four million, three hundred seventy-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 149603 299206 448809 598412 748015 897618 1196824 1496030 1795236 2244045 2393648 2842457 2992060 3590472 4488090 4787296 5684914 5984120 7180944 8527371 8976180 11369828 11968240 14212285 14361888 17054742 17952360 22739656 23936480 28424570 34109484 35904720 42636855 45479312 56849140 68218968 71809440 85273710 90958624 113698280 136437936 170547420 227396560 272875872 341094840 454793120 682189680 1364379360