Search a number
-
+
681078060 = 22325133141229
BaseRepresentation
bin101000100110000…
…110110100101100
31202110120100110100
4220212012310230
52343323444220
6151325511100
722610032215
oct5046066454
91673510410
10681078060
1131a4a6033
12170112490
13ab145890
146665040c
153ebd5d90
hex28986d2c

681078060 has 288 divisors, whose sum is σ = 2362913280. Its totient is φ = 157593600.

The previous prime is 681078017. The next prime is 681078071. The reversal of 681078060 is 60870186.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 95 ways as a sum of consecutive naturals, for example, 2974026 + ... + 2974254.

It is an arithmetic number, because the mean of its divisors is an integer number (8204560).

Almost surely, 2681078060 is an apocalyptic number.

681078060 is a gapful number since it is divisible by the number (60) 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 681078060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181456640).

681078060 is an abundant number, since it is smaller than the sum of its proper divisors (1681835220).

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

681078060 is a wasteful number, since it uses less digits than its factorization.

681078060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 681078060 is about 26097.4722913925. The cubic root of 681078060 is about 879.8303994779.

It can be divided in two parts, 68107 and 8060, that added together give a palindrome (76167).

The spelling of 681078060 in words is "six hundred eighty-one million, seventy-eight thousand, sixty".