Search a number
-
+
1053341640 = 23325131731301
BaseRepresentation
bin111110110010001…
…011011111001000
32201102001022002100
4332302023133020
54124123413030
6252304433400
735050153611
oct7662133710
92642038070
101053341640
114a064718a
12254918860
1313a2c55a0
149dc74c08
156271b360
hex3ec8b7c8

1053341640 has 192 divisors, whose sum is σ = 3710856240. Its totient is φ = 257587200.

The previous prime is 1053341633. The next prime is 1053341651. The reversal of 1053341640 is 461433501.

1053341640 is a `hidden beast` number, since 10 + 5 + 3 + 3 + 4 + 1 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 149377284 + 903964356 = 12222^2 + 30066^2 .

It is a super-2 number, since 2×10533416402 = 2219057221115779200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 808990 + ... + 810290.

Almost surely, 21053341640 is an apocalyptic number.

1053341640 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 1053341640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855428120).

1053341640 is an abundant number, since it is smaller than the sum of its proper divisors (2657514600).

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

1053341640 is a wasteful number, since it uses less digits than its factorization.

1053341640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1053341640 is about 32455.2251571299. The cubic root of 1053341640 is about 1017.4734469786.

The spelling of 1053341640 in words is "one billion, fifty-three million, three hundred forty-one thousand, six hundred forty".