Search a number
-
+
540670032 = 24337178793
BaseRepresentation
bin100000001110011…
…111100001010000
31101200100212212000
4200032133201100
52101402420112
6125352234000
716253422320
oct4016374120
91350325760
10540670032
11258215441
1213109b900
13880248c6
1451b41280
15326ed7dc
hex2039f850

540670032 has 80 divisors (see below), whose sum is σ = 1773636480. Its totient is φ = 154476288.

The previous prime is 540670027. The next prime is 540670033. The reversal of 540670032 is 230076045.

540670032 = T353 + T354 + ... + T1486.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 540669978 and 540670005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540670033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86373 + ... + 92420.

It is an arithmetic number, because the mean of its divisors is an integer number (22170456).

Almost surely, 2540670032 is an apocalyptic number.

It is an amenable number.

540670032 is an abundant number, since it is smaller than the sum of its proper divisors (1232966448).

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

540670032 is a wasteful number, since it uses less digits than its factorization.

540670032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178817 (or 178805 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 540670032 is about 23252.3124011355. The cubic root of 540670032 is about 814.6619507098.

The spelling of 540670032 in words is "five hundred forty million, six hundred seventy thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 178793 357586 536379 715172 1072758 1251551 1430344 1609137 2145516 2503102 2860688 3218274 3754653 4291032 4827411 5006204 6436548 7509306 8582064 9654822 10012408 11263959 12873096 15018612 19309644 20024816 22527918 25746192 30037224 33791877 38619288 45055836 60074448 67583754 77238576 90111672 135167508 180223344 270335016 540670032