Search a number
-
+
1102259664 = 243611371
BaseRepresentation
bin100000110110011…
…0010010111010000
32211211002121000000
41001230302113100
54224134302124
6301213130000
736213024012
oct10154622720
92754077000
101102259664
11516219000
12269189900
1314749236c
14a656a1b2
1566b806c9
hex41b325d0

1102259664 has 280 divisors, whose sum is σ = 3571539264. Its totient is φ = 329313600.

The previous prime is 1102259629. The next prime is 1102259677. The reversal of 1102259664 is 4669522011.

1102259664 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 2 + 596 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 55 ways as a sum of consecutive naturals, for example, 15524749 + ... + 15524819.

Almost surely, 21102259664 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 1102259664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785769632).

1102259664 is an abundant number, since it is smaller than the sum of its proper divisors (2469279600).

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

1102259664 is an frugal number, since it uses more digits than its factorization.

1102259664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1102259664 is about 33200.2961432575. The cubic root of 1102259664 is about 1032.9864823627.

The spelling of 1102259664 in words is "one billion, one hundred two million, two hundred fifty-nine thousand, six hundred sixty-four".