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40682320 = 245772647
BaseRepresentation
bin1001101100110…
…0001101010000
32211112212122121
42123030031100
540403313240
64011544024
71002536230
oct233141520
984485577
1040682320
1120a67258
121175b014
1385752a3
14558dcc0
15388904a
hex26cc350

40682320 has 40 divisors (see below), whose sum is σ = 108100224. Its totient is φ = 13948032.

The previous prime is 40682293. The next prime is 40682321. The reversal of 40682320 is 2328604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40682321) 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 7 ways as a sum of consecutive naturals, for example, 35764 + ... + 36883.

Almost surely, 240682320 is an apocalyptic number.

40682320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40682320 is an abundant number, since it is smaller than the sum of its proper divisors (67417904).

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

40682320 is a wasteful number, since it uses less digits than its factorization.

40682320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72667 (or 72661 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 40682320 is about 6378.2693577490. The cubic root of 40682320 is about 343.9288206794.

The spelling of 40682320 in words is "forty million, six hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 72647 145294 290588 363235 508529 581176 726470 1017058 1162352 1452940 2034116 2542645 2905880 4068232 5085290 5811760 8136464 10170580 20341160 40682320