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1364713740 = 22325132325357
BaseRepresentation
bin101000101010111…
…1110000100001100
310112002221122022100
41101111332010030
510243331314430
6343230315100
745550606155
oct12125760414
93462848270
101364713740
116403886a5
12321058a90
13189975630
14cd36892c
157ec24960
hex5157e10c

1364713740 has 144 divisors (see below), whose sum is σ = 4652077248. Its totient is φ = 321311232.

The previous prime is 1364713733. The next prime is 1364713759. The reversal of 1364713740 is 473174631.

1364713740 is a `hidden beast` number, since 1 + 3 + 647 + 1 + 3 + 7 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1364713695 and 1364713704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41142 + ... + 66498.

It is an arithmetic number, because the mean of its divisors is an integer number (32306092).

Almost surely, 21364713740 is an apocalyptic number.

1364713740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1364713740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326038624).

1364713740 is an abundant number, since it is smaller than the sum of its proper divisors (3287363508).

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

1364713740 is a wasteful number, since it uses less digits than its factorization.

1364713740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25408 (or 25403 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 1364713740 is about 36942.0321585048. The cubic root of 1364713740 is about 1109.2102002795.

The spelling of 1364713740 in words is "one billion, three hundred sixty-four million, seven hundred thirteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 345 390 414 460 468 585 598 690 780 828 897 1035 1170 1196 1380 1495 1794 2070 2340 2691 2990 3588 4140 4485 5382 5980 8970 10764 13455 17940 25357 26910 50714 53820 76071 101428 126785 152142 228213 253570 304284 329641 380355 456426 507140 583211 659282 760710 912852 988923 1141065 1166422 1318564 1521420 1648205 1749633 1977846 2282130 2332844 2916055 2966769 3296410 3499266 3955692 4564260 4944615 5248899 5832110 5933538 6592820 6998532 7581743 8748165 9889230 10497798 11664220 11867076 14833845 15163486 17496330 19778460 20995596 22745229 26244495 29667690 30326972 34992660 37908715 45490458 52488990 59335380 68235687 75817430 90980916 104977980 113726145 136471374 151634860 227452290 272942748 341178435 454904580 682356870 1364713740