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681447700 = 225273277337
BaseRepresentation
bin101000100111100…
…001000100010100
31202111021010111201
4220213201010110
52343422311300
6151341442244
722613131663
oct5047410424
91674233451
10681447700
1131a72881a
12170270384
13ab244bbb
1466708dda
153ec5a66a
hex289e1114

681447700 has 72 divisors (see below), whose sum is σ = 1508873912. Its totient is φ = 267079680.

The previous prime is 681447671. The next prime is 681447709. The reversal of 681447700 is 7744186.

It can be written as a sum of positive squares in 12 ways, for example, as 349989264 + 331458436 = 18708^2 + 18206^2 .

It is a super-3 number, since 3×6814477003 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 681447700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681447709) 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 23 ways as a sum of consecutive naturals, for example, 2021932 + ... + 2022268.

Almost surely, 2681447700 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 681447700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754436956).

681447700 is an abundant number, since it is smaller than the sum of its proper divisors (827426212).

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

681447700 is a wasteful number, since it uses less digits than its factorization.

681447700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 681447700 is about 26104.5532426816. The cubic root of 681447700 is about 879.9895401649.

The spelling of 681447700 in words is "six hundred eighty-one million, four hundred forty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 277 292 337 365 554 674 730 1108 1348 1385 1460 1685 1825 2770 3370 3650 5540 6740 6925 7300 8425 13850 16850 20221 24601 27700 33700 40442 49202 80884 93349 98404 101105 123005 186698 202210 246010 373396 404420 466745 492020 505525 615025 933490 1011050 1230050 1866980 2022100 2333725 2460100 4667450 6814477 9334900 13628954 27257908 34072385 68144770 136289540 170361925 340723850 681447700