Search a number
-
+
30782040 = 2335256517
BaseRepresentation
bin111010101101…
…1001001011000
32010220220000120
41311123021120
530340011130
63015433240
7522433362
oct165331130
963826016
1030782040
1116415003
12a385820
1364b9c33
144133d32
152a80910
hex1d5b258

30782040 has 32 divisors (see below), whose sum is σ = 92346480. Its totient is φ = 8208512.

The previous prime is 30782009. The next prime is 30782041. The reversal of 30782040 is 4028703.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30782040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30782041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 128139 + ... + 128378.

Almost surely, 230782040 is an apocalyptic number.

30782040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30782040 is an abundant number, since it is smaller than the sum of its proper divisors (61564440).

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

30782040 is a wasteful number, since it uses less digits than its factorization.

30782040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256531 (or 256527 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 30782040 is about 5548.1564505699. The cubic root of 30782040 is about 313.4001014597.

The spelling of 30782040 in words is "thirty million, seven hundred eighty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 256517 513034 769551 1026068 1282585 1539102 2052136 2565170 3078204 3847755 5130340 6156408 7695510 10260680 15391020 30782040