Search a number
-
+
10415241630 = 234512858323
BaseRepresentation
bin10011011001100101…
…11111100110011110
3222212212010002120000
421230302333212132
5132312300213010
64441254435130
7516046043643
oct115462774636
928785102500
1010415241630
114465150212
122028062aa6
13c9ca37391
1470b373dca
1540e5827c0
hex26ccbf99e

10415241630 has 40 divisors (see below), whose sum is σ = 28005429672. Its totient is φ = 2777397552.

The previous prime is 10415241619. The next prime is 10415241673. The reversal of 10415241630 is 3614251401.

It is a happy number.

10415241630 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 5 + 24 + 1 + 630 = 666.

It is a super-2 number, since 2×104152416302 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10415241594 and 10415241603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6428352 + ... + 6429971.

Almost surely, 210415241630 is an apocalyptic number.

10415241630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10415241630 is an abundant number, since it is smaller than the sum of its proper divisors (17590188042).

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

10415241630 is a wasteful number, since it uses less digits than its factorization.

10415241630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12858342 (or 12858333 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10415241630 in words is "ten billion, four hundred fifteen million, two hundred forty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 12858323 25716646 38574969 64291615 77149938 115724907 128583230 192874845 231449814 347174721 385749690 578624535 694349442 1041524163 1157249070 1735873605 2083048326 3471747210 5207620815 10415241630