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1365448812 = 2237133074073
BaseRepresentation
bin101000101100011…
…0001100001101100
310112011022222122020
41101120301201230
510244023330222
6343254150140
745560060220
oct12130614154
93464288566
101365448812
1164083a9a2
12321352350
13189b720a0
14cd4ba780
157ed1c65c
hex5163186c

1365448812 has 96 divisors (see below), whose sum is σ = 3935027712. Its totient is φ = 358857216.

The previous prime is 1365448793. The next prime is 1365448829. The reversal of 1365448812 is 2188445631.

It is a happy number.

It is a super-2 number, since 2×13654488122 = 3728900916384422688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 333208 + ... + 337280.

It is an arithmetic number, because the mean of its divisors is an integer number (40989872).

Almost surely, 21365448812 is an apocalyptic number.

1365448812 is a gapful number since it is divisible by the number (12) 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 1365448812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967513856).

1365448812 is an abundant number, since it is smaller than the sum of its proper divisors (2569578900).

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

1365448812 is a wasteful number, since it uses less digits than its factorization.

1365448812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4407 (or 4405 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 1365448812 is about 36951.9798116420. The cubic root of 1365448812 is about 1109.4093148119.

The spelling of 1365448812 in words is "one billion, three hundred sixty-five million, four hundred forty-eight thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 307 364 546 614 921 1092 1228 1842 2149 3684 3991 4073 4298 6447 7982 8146 8596 11973 12219 12894 15964 16292 23946 24438 25788 27937 28511 47892 48876 52949 55874 57022 83811 85533 105898 111748 114044 158847 167622 171066 211796 317694 335244 342132 370643 635388 741286 1111929 1250411 1482572 2223858 2500822 3751233 4447716 5001644 7502466 8752877 15004932 16255343 17505754 26258631 32510686 35011508 48766029 52517262 65021372 97532058 105034524 113787401 195064116 227574802 341362203 455149604 682724406 1365448812