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10420414410 = 235749621021
BaseRepresentation
bin10011011010001101…
…01110011111001010
3222220012211220021110
421231012232133022
5132320111230120
64442001351150
7516141026640
oct115506563712
928805756243
1010420414410
11446806363a
1220299384b6
13ca0b289b3
1470bd1d190
1540ec552e0
hex26d1ae7ca

10420414410 has 32 divisors (see below), whose sum is σ = 28581708672. Its totient is φ = 2381808960.

The previous prime is 10420414393. The next prime is 10420414439. The reversal of 10420414410 is 1441402401.

It is a super-2 number, since 2×104204144102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24810301 + ... + 24810720.

It is an arithmetic number, because the mean of its divisors is an integer number (893178396).

Almost surely, 210420414410 is an apocalyptic number.

10420414410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10420414410 is an abundant number, since it is smaller than the sum of its proper divisors (18161294262).

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

10420414410 is a wasteful number, since it uses less digits than its factorization.

10420414410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49621038.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10420414410 its reverse (1441402401), we get a palindrome (11861816811).

The spelling of 10420414410 in words is "ten billion, four hundred twenty million, four hundred fourteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 49621021 99242042 148863063 248105105 297726126 347347147 496210210 694694294 744315315 1042041441 1488630630 1736735735 2084082882 3473471470 5210207205 10420414410