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1364164050 = 235229331039
BaseRepresentation
bin101000101001111…
…0111110111010010
310112001220201021110
41101103313313102
510243211222200
6343210434150
745543126444
oct12123676722
93461821243
101364164050
11640042707
12320a32956
13189812382
14cd264494
157eb66b50
hex514f7dd2

1364164050 has 48 divisors (see below), whose sum is σ = 3394782720. Its totient is φ = 362523840.

The previous prime is 1364164037. The next prime is 1364164057. The reversal of 1364164050 is 504614631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1364163999 and 1364164017.

It is not an unprimeable number, because it can be changed into a prime (1364164057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28431 + ... + 59469.

It is an arithmetic number, because the mean of its divisors is an integer number (70724640).

Almost surely, 21364164050 is an apocalyptic number.

1364164050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1364164050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697391360).

1364164050 is an abundant number, since it is smaller than the sum of its proper divisors (2030618670).

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

1364164050 is a wasteful number, since it uses less digits than its factorization.

1364164050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31347 (or 31342 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1364164050 is about 36934.5915098570. The cubic root of 1364164050 is about 1109.0612548467.

Adding to 1364164050 its reverse (504614631), we get a palindrome (1868778681).

The spelling of 1364164050 in words is "one billion, three hundred sixty-four million, one hundred sixty-four thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 293 586 879 1465 1758 2930 4395 7325 8790 14650 21975 31039 43950 62078 93117 155195 186234 310390 465585 775975 931170 1551950 2327925 4655850 9094427 18188854 27283281 45472135 54566562 90944270 136416405 227360675 272832810 454721350 682082025 1364164050