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40380732 = 22327236967
BaseRepresentation
bin1001101000001…
…0100100111100
32210222112221200
42122002210330
540314140412
64001255500
71000142040
oct232024474
983875850
1040380732
1120880707
1211634590
13849ac32
145512020
1538299dc
hex268293c

40380732 has 72 divisors (see below), whose sum is σ = 121744896. Its totient is φ = 11034144.

The previous prime is 40380707. The next prime is 40380733. The reversal of 40380732 is 23708304.

It is a junction number, because it is equal to n+sod(n) for n = 40380696 and 40380705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40380733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2313 + ... + 9279.

Almost surely, 240380732 is an apocalyptic number.

40380732 is a gapful number since it is divisible by the number (42) 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 40380732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60872448).

40380732 is an abundant number, since it is smaller than the sum of its proper divisors (81364164).

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

40380732 is a wasteful number, since it uses less digits than its factorization.

40380732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7007 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 40380732 is about 6354.5835426092. The cubic root of 40380732 is about 343.0768356853.

The spelling of 40380732 in words is "forty million, three hundred eighty thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 6967 13934 20901 27868 41802 48769 62703 83604 97538 125406 146307 160241 195076 250812 292614 320482 438921 480723 585228 640964 877842 961446 1121687 1442169 1755684 1922892 2243374 2884338 3365061 4486748 5768676 6730122 10095183 13460244 20190366 40380732