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681401440 = 25526316193
BaseRepresentation
bin101000100111010…
…101110001100000
31202111011210001101
4220213111301200
52343414321230
6151340444144
722612550056
oct5047256140
91674153041
10681401440
1131a6a6a95
12170249654
13ab229b25
14666d61d6
153ec4baca
hex289d5c60

681401440 has 48 divisors (see below), whose sum is σ = 1616031648. Its totient is φ = 271507456.

The previous prime is 681401431. The next prime is 681401459. The reversal of 681401440 is 44104186.

It is a junction number, because it is equal to n+sod(n) for n = 681401399 and 681401408.

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, 33984 + ... + 50176.

It is an arithmetic number, because the mean of its divisors is an integer number (33667326).

Almost surely, 2681401440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808015824).

681401440 is an abundant number, since it is smaller than the sum of its proper divisors (934630208).

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

681401440 is a wasteful number, since it uses less digits than its factorization.

681401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16471 (or 16463 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 681401440 is about 26103.6671753223. The cubic root of 681401440 is about 879.9696270509.

The spelling of 681401440 in words is "six hundred eighty-one million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 263 526 1052 1315 2104 2630 4208 5260 8416 10520 16193 21040 32386 42080 64772 80965 129544 161930 259088 323860 518176 647720 1295440 2590880 4258759 8517518 17035036 21293795 34070072 42587590 68140144 85175180 136280288 170350360 340700720 681401440