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403138240 = 2654130727
BaseRepresentation
bin11000000001110…
…110011011000000
31001002120112200221
4120001312123000
51311200410430
6104000352424
712663422101
oct3001663300
91032515627
10403138240
111976197aa
12b3015714
136569cb4b
143b7803a8
15255d357a
hex180766c0

403138240 has 56 divisors (see below), whose sum is σ = 983418912. Its totient is φ = 157317120.

The previous prime is 403138157. The next prime is 403138243. The reversal of 403138240 is 42831304.

It is not an unprimeable number, because it can be changed into a prime (403138243) 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, 2244 + ... + 28483.

It is an arithmetic number, because the mean of its divisors is an integer number (17561052).

Almost surely, 2403138240 is an apocalyptic number.

403138240 is a gapful number since it is divisible by the number (40) 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 403138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491709456).

403138240 is an abundant number, since it is smaller than the sum of its proper divisors (580280672).

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

403138240 is a wasteful number, since it uses less digits than its factorization.

403138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30785 (or 30775 counting only the distinct ones).

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

The square root of 403138240 is about 20078.3027171123. The cubic root of 403138240 is about 738.7281781952.

Adding to 403138240 its reverse (42831304), we get a palindrome (445969544).

The spelling of 403138240 in words is "four hundred three million, one hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 13120 30727 61454 122908 153635 245816 307270 491632 614540 983264 1229080 1259807 1966528 2458160 2519614 4916320 5039228 6299035 9832640 10078456 12598070 20156912 25196140 40313824 50392280 80627648 100784560 201569120 403138240