Search a number
-
+
10073832 = 233419743
BaseRepresentation
bin100110011011…
…011011101000
3200221210200220
4212123123220
510034330312
6555530040
7151424526
oct46333350
920853626
1010073832
11576068a
123459920
132119362
1414a3316
15d3ec8c
hex99b6e8

10073832 has 16 divisors (see below), whose sum is σ = 25184640. Its totient is φ = 3357936.

The previous prime is 10073827. The next prime is 10073863. The reversal of 10073832 is 23837001.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 419743 = 10073832 / (1 + 0 + 0 + 7 + 3 + 8 + 3 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 209848 + ... + 209895.

It is an arithmetic number, because the mean of its divisors is an integer number (1574040).

Almost surely, 210073832 is an apocalyptic number.

10073832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10073832 is an abundant number, since it is smaller than the sum of its proper divisors (15110808).

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

10073832 is a wasteful number, since it uses less digits than its factorization.

10073832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419752 (or 419748 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 10073832 is about 3173.9300559401. The cubic root of 10073832 is about 215.9723901610.

The spelling of 10073832 in words is "ten million, seventy-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 419743 839486 1259229 1678972 2518458 3357944 5036916 10073832