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380420124 = 223722392707
BaseRepresentation
bin10110101011001…
…100000000011100
3222111211100022020
4112223030000130
51234341420444
6101425420140
712266342400
oct2653140034
9874740266
10380420124
111858122a7
12a749a650
1360a77486
1438749100
15235e7119
hex16acc01c

380420124 has 72 divisors (see below), whose sum is σ = 1037272320. Its totient is φ = 108196704.

The previous prime is 380420123. The next prime is 380420149. The reversal of 380420124 is 421024083.

It is a junction number, because it is equal to n+sod(n) for n = 380420094 and 380420103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380420123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139179 + ... + 141885.

It is an arithmetic number, because the mean of its divisors is an integer number (14406560).

Almost surely, 2380420124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380420124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518636160).

380420124 is an abundant number, since it is smaller than the sum of its proper divisors (656852196).

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

380420124 is a wasteful number, since it uses less digits than its factorization.

380420124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 380420124 is about 19504.3616660479. The cubic root of 380420124 is about 724.5824779495.

The spelling of 380420124 in words is "three hundred eighty million, four hundred twenty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 239 294 478 588 717 956 1434 1673 2707 2868 3346 5019 5414 6692 8121 10038 10828 11711 16242 18949 20076 23422 32484 35133 37898 46844 56847 70266 75796 113694 132643 140532 227388 265286 397929 530572 646973 795858 1293946 1591716 1940919 2587892 3881838 4528811 7763676 9057622 13586433 18115244 27172866 31701677 54345732 63403354 95105031 126806708 190210062 380420124