Search a number
-
+
402682640 = 24520112503
BaseRepresentation
bin11000000000000…
…111001100010000
31001001201101201212
4120000013030100
51311041321030
6103542515252
712656513603
oct3000071420
91031641655
10402682640
11197338478
12b2a35b28
1365570669
143b6a233a
1525543595
hex18007310

402682640 has 40 divisors (see below), whose sum is σ = 937076928. Its totient is φ = 160928640.

The previous prime is 402682633. The next prime is 402682649. The reversal of 402682640 is 46286204.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 402682597 and 402682606.

It is not an unprimeable number, because it can be changed into a prime (402682649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159629 + ... + 162131.

Almost surely, 2402682640 is an apocalyptic number.

402682640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402682640 is an abundant number, since it is smaller than the sum of its proper divisors (534394288).

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

402682640 is a wasteful number, since it uses less digits than its factorization.

402682640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 402682640 is about 20066.9539292838. The cubic root of 402682640 is about 738.4497861600.

The spelling of 402682640 in words is "four hundred two million, six hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2011 2503 4022 5006 8044 10012 10055 12515 16088 20024 20110 25030 32176 40048 40220 50060 80440 100120 160880 200240 5033533 10067066 20134132 25167665 40268264 50335330 80536528 100670660 201341320 402682640