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678111040 = 2655413917
BaseRepresentation
bin101000011010110…
…010011101000000
31202020222121110201
4220122302131000
52342044023130
6151142134544
722542564055
oct5032623500
91666877421
10678111040
11318859952
1216b121454
13aa647249
14660bb02c
153e7ebbca
hex286b2740

678111040 has 56 divisors (see below), whose sum is σ = 1618149672. Its totient is φ = 270673920.

The previous prime is 678110987. The next prime is 678111043. The reversal of 678111040 is 40111876.

It can be written as a sum of positive squares in 4 ways, for example, as 121528576 + 556582464 = 11024^2 + 23592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678111043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171162 + ... + 175078.

Almost surely, 2678111040 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 678111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809074836).

678111040 is an abundant number, since it is smaller than the sum of its proper divisors (940038632).

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

678111040 is a wasteful number, since it uses less digits than its factorization.

678111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 678111040 is about 26040.5652780426. The cubic root of 678111040 is about 878.5509209242.

The spelling of 678111040 in words is "six hundred seventy-eight million, one hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 541 1082 2164 2705 3917 4328 5410 7834 8656 10820 15668 17312 19585 21640 31336 34624 39170 43280 62672 78340 86560 125344 156680 173120 250688 313360 626720 1253440 2119097 4238194 8476388 10595485 16952776 21190970 33905552 42381940 67811104 84763880 135622208 169527760 339055520 678111040