Search a number
-
+
681580032 = 293763391
BaseRepresentation
bin101000101000000…
…001011000000000
31202111111212000220
4220220001120000
52343441030112
6151344343040
722614222540
oct5050013000
91674455026
10681580032
1131a809191
12170314a80
13ab2901c3
1466741320
153ec8498c
hex28a01600

681580032 has 80 divisors (see below), whose sum is σ = 2075200512. Its totient is φ = 194734080.

The previous prime is 681580021. The next prime is 681580033. The reversal of 681580032 is 230085186.

It is a happy number.

It is a super-2 number, since 2×6815800322 = 929102680042242048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 681579975 and 681580002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681580033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20944 + ... + 42447.

Almost surely, 2681580032 is an apocalyptic number.

It is an amenable number.

681580032 is an abundant number, since it is smaller than the sum of its proper divisors (1393620480).

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

681580032 is an equidigital number, since it uses as much as digits as its factorization.

681580032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63419 (or 63403 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 681580032 is about 26107.0877732466. The cubic root of 681580032 is about 880.0464989204.

The spelling of 681580032 in words is "six hundred eighty-one million, five hundred eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 63391 126782 190173 253564 380346 443737 507128 760692 887474 1014256 1331211 1521384 1774948 2028512 2662422 3042768 3549896 4057024 5324844 6085536 7099792 8114048 10649688 12171072 14199584 16228096 21299376 24342144 28399168 32456192 42598752 48684288 56798336 85197504 97368576 113596672 170395008 227193344 340790016 681580032