Search a number
-
+
30795840 = 2632517237
BaseRepresentation
bin111010101111…
…0100001000000
32010221120221200
41311132201000
530340431330
63020021200
7522521535
oct165364100
963846850
1030795840
1116424409
12a391800
1364c32ba
144138d8c
152a84a60
hex1d5e840

30795840 has 252 divisors, whose sum is σ = 115563396. Its totient is φ = 7520256.

The previous prime is 30795833. The next prime is 30795871. The reversal of 30795840 is 4859703.

30795840 is a `hidden beast` number, since 3 + 0 + 79 + 584 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5875776 + 24920064 = 2424^2 + 4992^2 .

It is a super-2 number, since 2×307958402 = 1896767522611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30795795 and 30795804.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 832302 + ... + 832338.

Almost surely, 230795840 is an apocalyptic number.

30795840 is a gapful number since it is divisible by the number (30) 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 30795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57781698).

30795840 is an abundant number, since it is smaller than the sum of its proper divisors (84767556).

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

30795840 is a wasteful number, since it uses less digits than its factorization.

30795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 30795840 is about 5549.3999675641. The cubic root of 30795840 is about 313.4469282810.

The spelling of 30795840 in words is "thirty million, seven hundred ninety-five thousand, eight hundred forty".