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535168040 = 235117431637
BaseRepresentation
bin11111111001100…
…000010000101000
31101022000100112112
4133321200100220
52044000334130
6125034301452
716155565451
oct3771402050
91338010475
10535168040
112550a7740
1212b287888
1386b494a4
145110c128
1531eb3495
hex1fe60428

535168040 has 64 divisors (see below), whose sum is σ = 1316165760. Its totient is φ = 194225920.

The previous prime is 535168031. The next prime is 535168063. The reversal of 535168040 is 40861535.

It is a happy number.

535168040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 535167988 and 535168006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326102 + ... + 327738.

It is an arithmetic number, because the mean of its divisors is an integer number (20565090).

Almost surely, 2535168040 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 535168040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658082880).

535168040 is an abundant number, since it is smaller than the sum of its proper divisors (780997720).

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

535168040 is a wasteful number, since it uses less digits than its factorization.

535168040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 535168040 is about 23133.6992286145. The cubic root of 535168040 is about 811.8891231557.

The spelling of 535168040 in words is "five hundred thirty-five million, one hundred sixty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 743 1486 1637 2972 3274 3715 5944 6548 7430 8173 8185 13096 14860 16346 16370 18007 29720 32692 32740 36014 40865 65384 65480 72028 81730 90035 144056 163460 180070 326920 360140 720280 1216291 2432582 4865164 6081455 9730328 12162910 13379201 24325820 26758402 48651640 53516804 66896005 107033608 133792010 267584020 535168040