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681468144 = 24372028179
BaseRepresentation
bin101000100111100…
…110000011110000
31202111022011112220
4220213212003300
52343423440034
6151342121040
722613245410
oct5047460360
91674264486
10681468144
1131a742115
12170280180
13ab2512b6
1466712640
153ec61749
hex289e60f0

681468144 has 40 divisors (see below), whose sum is σ = 2011954560. Its totient is φ = 194705088.

The previous prime is 681468121. The next prime is 681468167. The reversal of 681468144 is 441864186.

It is an interprime number because it is at equal distance from previous prime (681468121) and next prime (681468167).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 681468096 and 681468105.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1013754 + ... + 1014425.

It is an arithmetic number, because the mean of its divisors is an integer number (50298864).

Almost surely, 2681468144 is an apocalyptic number.

It is an amenable number.

681468144 is an abundant number, since it is smaller than the sum of its proper divisors (1330486416).

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

681468144 is a wasteful number, since it uses less digits than its factorization.

681468144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028197 (or 2028191 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 681468144 is about 26104.9448189419. The cubic root of 681468144 is about 879.9983402173.

The spelling of 681468144 in words is "six hundred eighty-one million, four hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2028179 4056358 6084537 8112716 12169074 14197253 16225432 24338148 28394506 32450864 42591759 48676296 56789012 85183518 97352592 113578024 170367036 227156048 340734072 681468144