Search a number
-
+
10060940340 = 22345111733211
BaseRepresentation
bin10010101111010110…
…11100010000110100
3221222011102201120000
421113223130100310
5131101100042330
64342200511300
7504214403403
oct112753342064
927864381500
1010060940340
1142a3158430
121b4947b530
13c44506449
146b62a763a
153dd3e9560
hex257adc434

10060940340 has 240 divisors, whose sum is σ = 36457210944. Its totient is φ = 2295475200.

The previous prime is 10060940303. The next prime is 10060940341. The reversal of 10060940340 is 4304906001.

10060940340 is a `hidden beast` number, since 10 + 0 + 609 + 4 + 0 + 3 + 40 = 666.

10060940340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10060940341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 286335 + ... + 319545.

Almost surely, 210060940340 is an apocalyptic number.

10060940340 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 10060940340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18228605472).

10060940340 is an abundant number, since it is smaller than the sum of its proper divisors (26396270604).

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

10060940340 is a wasteful number, since it uses less digits than its factorization.

10060940340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33260 (or 33249 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10060940340 in words is "ten billion, sixty million, nine hundred forty thousand, three hundred forty".