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671080400 = 24528771913
BaseRepresentation
bin100111111111111…
…101111111010000
31201202202102020122
4213333331333100
52333244033100
6150331325412
722426042424
oct4777757720
91652672218
10671080400
11314897701
121688b0868
13a90550c3
14651aab84
153ddad985
hex27ffdfd0

671080400 has 60 divisors (see below), whose sum is σ = 1614952812. Its totient is φ = 267985920.

The previous prime is 671080393. The next prime is 671080411. The reversal of 671080400 is 4080176.

It can be written as a sum of positive squares in 6 ways, for example, as 42876304 + 628204096 = 6548^2 + 25064^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 671080400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349844 + ... + 351756.

Almost surely, 2671080400 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 671080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807476406).

671080400 is an abundant number, since it is smaller than the sum of its proper divisors (943872412).

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

671080400 is a wasteful number, since it uses less digits than its factorization.

671080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 671080400 is about 25905.2195512796. The cubic root of 671080400 is about 875.5041013602.

The spelling of 671080400 in words is "six hundred seventy-one million, eighty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 877 1754 1913 3508 3826 4385 7016 7652 8770 9565 14032 15304 17540 19130 21925 30608 35080 38260 43850 47825 70160 76520 87700 95650 153040 175400 191300 350800 382600 765200 1677701 3355402 6710804 8388505 13421608 16777010 26843216 33554020 41942525 67108040 83885050 134216080 167770100 335540200 671080400