Search a number
-
+
10907009280 = 283251949831
BaseRepresentation
bin10100010100001101…
…11100000100000000
31001011010110110221200
422022012330010000
5134314143244110
65002143021200
7534200022606
oct121206740400
931133413850
1010907009280
1146977a4562
12214489a800
13104a89935b
147567c5876
1543c8216c0
hex28a1bc100

10907009280 has 216 divisors, whose sum is σ = 39724077120. Its totient is φ = 2755399680.

The previous prime is 10907009263. The next prime is 10907009287. The reversal of 10907009280 is 8290070901.

It is a happy number.

It is a super-2 number, since 2×109070092802 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10907009287) 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, 193965 + ... + 243795.

Almost surely, 210907009280 is an apocalyptic number.

10907009280 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 10907009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19862038560).

10907009280 is an abundant number, since it is smaller than the sum of its proper divisors (28817067840).

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

10907009280 is a wasteful number, since it uses less digits than its factorization.

10907009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49877 (or 49860 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 10907009280 in words is "ten billion, nine hundred seven million, nine thousand, two hundred eighty".