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680954004 = 223218915389
BaseRepresentation
bin101000100101101…
…000100010010100
31202110100001021200
4220211220202110
52343311012004
6151323112500
722606004433
oct5045504224
91673301250
10680954004
1131a420905
12170072730
13ab101283
146661b11a
153ebae239
hex28968894

680954004 has 18 divisors (see below), whose sum is σ = 1721300490. Its totient is φ = 226984656.

The previous prime is 680954003. The next prime is 680954083. The reversal of 680954004 is 400459086.

It can be written as a sum of positive squares in only one way, i.e., 673402500 + 7551504 = 25950^2 + 2748^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×6809540043 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 18915389 = 680954004 / (6 + 8 + 0 + 9 + 5 + 4 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 680954004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680954003) 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 5 ways as a sum of consecutive naturals, for example, 9457659 + ... + 9457730.

It is an arithmetic number, because the mean of its divisors is an integer number (95627805).

Almost surely, 2680954004 is an apocalyptic number.

It is an amenable number.

680954004 is an abundant number, since it is smaller than the sum of its proper divisors (1040346486).

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

680954004 is a wasteful number, since it uses less digits than its factorization.

680954004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18915399 (or 18915394 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 680954004 is about 26095.0954012435. The cubic root of 680954004 is about 879.7769768850.

The spelling of 680954004 in words is "six hundred eighty million, nine hundred fifty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 18915389 37830778 56746167 75661556 113492334 170238501 226984668 340477002 680954004