Search a number
-
+
245893960 = 235131034591
BaseRepresentation
bin11101010100000…
…00101101001000
3122010200201002201
432222000231020
51000422101320
640222205544
76044031004
oct1652005510
9563621081
10245893960
11116889854
126a4238b4
133bc357b0
142492b704
15168c270a
hexea80b48

245893960 has 64 divisors (see below), whose sum is σ = 601735680. Its totient is φ = 89890560.

The previous prime is 245893951. The next prime is 245893961. The reversal of 245893960 is 69398542.

It is a self number, because there is not a number n which added to its sum of digits gives 245893960.

It is not an unprimeable number, because it can be changed into a prime (245893961) 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 15 ways as a sum of consecutive naturals, for example, 51265 + ... + 55855.

It is an arithmetic number, because the mean of its divisors is an integer number (9402120).

Almost surely, 2245893960 is an apocalyptic number.

245893960 is a gapful number since it is divisible by the number (20) 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 245893960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300867840).

245893960 is an abundant number, since it is smaller than the sum of its proper divisors (355841720).

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

245893960 is a wasteful number, since it uses less digits than its factorization.

245893960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 245893960 is about 15681.0063452573. The cubic root of 245893960 is about 626.4926117387.

The spelling of 245893960 in words is "two hundred forty-five million, eight hundred ninety-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 103 104 130 206 260 412 515 520 824 1030 1339 2060 2678 4120 4591 5356 6695 9182 10712 13390 18364 22955 26780 36728 45910 53560 59683 91820 119366 183640 238732 298415 472873 477464 596830 945746 1193660 1891492 2364365 2387320 3782984 4728730 6147349 9457460 12294698 18914920 24589396 30736745 49178792 61473490 122946980 245893960