Search a number
-
+
10060821936 = 24321119353947
BaseRepresentation
bin10010101111010101…
…11111010110110000
3221222011012201010200
421113222333112300
5131101032300221
64342154155200
7504213401244
oct112752772660
927864181120
1010060821936
1142a3087480
121b49422b00
13c44494599
146b6276424
153dd3c4426
hex257abf5b0

10060821936 has 240 divisors, whose sum is σ = 32458458240. Its totient is φ = 2877050880.

The previous prime is 10060821887. The next prime is 10060821973. The reversal of 10060821936 is 63912806001.

10060821936 is a `hidden beast` number, since 1 + 0 + 0 + 608 + 2 + 19 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10060821936.

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, 10623415 + ... + 10624361.

It is an arithmetic number, because the mean of its divisors is an integer number (135243576).

Almost surely, 210060821936 is an apocalyptic number.

10060821936 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 10060821936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16229229120).

10060821936 is an abundant number, since it is smaller than the sum of its proper divisors (22397636304).

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

10060821936 is a wasteful number, since it uses less digits than its factorization.

10060821936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10060821936 in words is "ten billion, sixty million, eight hundred twenty-one thousand, nine hundred thirty-six".