Search a number
-
+
1209406068 = 2232134754983
BaseRepresentation
bin100100000010110…
…0001001001110100
310010021201012020100
41020011201021310
54434101443233
6320001434100
741653532133
oct11005411164
93107635210
101209406068
11570750752
1229903b930
131637388c0
14b689b91a
1571297813
hex48161274

1209406068 has 72 divisors (see below), whose sum is σ = 3362381568. Its totient is φ = 364200768.

The previous prime is 1209406067. The next prime is 1209406091. The reversal of 1209406068 is 8606049021.

1209406068 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 40 + 606 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1209406067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5496 + ... + 49487.

It is an arithmetic number, because the mean of its divisors is an integer number (46699744).

Almost surely, 21209406068 is an apocalyptic number.

1209406068 is a gapful number since it is divisible by the number (18) 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 1209406068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681190784).

1209406068 is an abundant number, since it is smaller than the sum of its proper divisors (2152975500).

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

1209406068 is a wasteful number, since it uses less digits than its factorization.

1209406068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55053 (or 55048 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1209406068 is about 34776.5160417199. The cubic root of 1209406068 is about 1065.4278569185.

The spelling of 1209406068 in words is "one billion, two hundred nine million, four hundred six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 423 468 564 611 846 1222 1692 1833 2444 3666 5499 7332 10998 21996 54983 109966 164949 219932 329898 494847 659796 714779 989694 1429558 1979388 2144337 2584201 2859116 4288674 5168402 6433011 7752603 8577348 10336804 12866022 15505206 23257809 25732044 31010412 33594613 46515618 67189226 93031236 100783839 134378452 201567678 302351517 403135356 604703034 1209406068