Search a number
-
+
10304535696 = 2437132199551
BaseRepresentation
bin10011001100011001…
…01011110010010000
3222121010210122120020
421212030223302100
5132100430120241
64422301543440
7513233052060
oct114614536220
928533718506
1010304535696
114408707204
121bb6b74b80
13c82b15900
146da7973a0
154049b5b66
hex26632bc90

10304535696 has 240 divisors, whose sum is σ = 34680637440. Its totient is φ = 2574374400.

The previous prime is 10304535671. The next prime is 10304535713. The reversal of 10304535696 is 69653540301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1074121 + ... + 1083671.

It is an arithmetic number, because the mean of its divisors is an integer number (144502656).

Almost surely, 210304535696 is an apocalyptic number.

10304535696 is a gapful number since it is divisible by the number (16) 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 10304535696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17340318720).

10304535696 is an abundant number, since it is smaller than the sum of its proper divisors (24376101744).

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

10304535696 is a wasteful number, since it uses less digits than its factorization.

10304535696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9614 (or 9595 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The spelling of 10304535696 in words is "ten billion, three hundred four million, five hundred thirty-five thousand, six hundred ninety-six".