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1364140752 = 2431313811583
BaseRepresentation
bin101000101001111…
…0010001011010000
310112001212112022120
41101103302023100
510243210001002
6343210134240
745543001512
oct12123621320
93461775276
101364140752
11640027157
12320a21380
131898048a0
14cd259bb2
157eb5ecbc
hex514f22d0

1364140752 has 80 divisors (see below), whose sum is σ = 3800256768. Its totient is φ = 419166720.

The previous prime is 1364140727. The next prime is 1364140763. The reversal of 1364140752 is 2570414631.

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, 860953 + ... + 862535.

Almost surely, 21364140752 is an apocalyptic number.

1364140752 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 1364140752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900128384).

1364140752 is an abundant number, since it is smaller than the sum of its proper divisors (2436116016).

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

1364140752 is a wasteful number, since it uses less digits than its factorization.

1364140752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1364140752 is about 36934.2761131175. The cubic root of 1364140752 is about 1109.0549410762.

The spelling of 1364140752 in words is "one billion, three hundred sixty-four million, one hundred forty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1381 1583 2762 3166 4143 4749 5524 6332 8286 9498 11048 12664 16572 17953 18996 20579 22096 25328 33144 35906 37992 41158 53859 61737 66288 71812 75984 82316 107718 123474 143624 164632 215436 246948 287248 329264 430872 493896 861744 987792 2186123 4372246 6558369 8744492 13116738 17488984 26233476 28419599 34977968 52466952 56839198 85258797 104933904 113678396 170517594 227356792 341035188 454713584 682070376 1364140752