Search a number
-
+
1053360464 = 241336713799
BaseRepresentation
bin111110110010010…
…000000101010000
32201102002020220112
4332302100011100
54124130013324
6252305100452
735050262522
oct7662200520
92642066815
101053360464
114a065a342
12254927728
1313a301020
149dc7ba12
1562721c0e
hex3ec90150

1053360464 has 40 divisors (see below), whose sum is σ = 2204025600. Its totient is φ = 484806528.

The previous prime is 1053360457. The next prime is 1053360521. The reversal of 1053360464 is 4640633501.

It is a super-2 number, since 2×10533604642 = 2219136534236590592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053360464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69437 + ... + 83235.

It is an arithmetic number, because the mean of its divisors is an integer number (55100640).

Almost surely, 21053360464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053360464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102012800).

1053360464 is an abundant number, since it is smaller than the sum of its proper divisors (1150665136).

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

1053360464 is a wasteful number, since it uses less digits than its factorization.

1053360464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14187 (or 14181 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 1053360464 is about 32455.5151553630. The cubic root of 1053360464 is about 1017.4795079453.

Adding to 1053360464 its reverse (4640633501), we get a palindrome (5693993965).

The spelling of 1053360464 in words is "one billion, fifty-three million, three hundred sixty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 367 734 1468 2936 4771 5872 9542 13799 19084 27598 38168 55196 76336 110392 179387 220784 358774 717548 1435096 2870192 5064233 10128466 20256932 40513864 65835029 81027728 131670058 263340116 526680232 1053360464