Search a number
-
+
680661300 = 22352112171103
BaseRepresentation
bin101000100100100…
…001000100110100
31202102210011202210
4220210201010310
52343222130200
6151312533420
722603345164
oct5044410464
91672704683
10680661300
1131a240a00
1216bb51270
13ab02ac87
14665825a4
153eb52650
hex28921134

680661300 has 216 divisors, whose sum is σ = 2294103168. Its totient is φ = 155161600.

The previous prime is 680661277. The next prime is 680661323. The reversal of 680661300 is 3166086.

It is an interprime number because it is at equal distance from previous prime (680661277) and next prime (680661323).

It is a super-3 number, since 3×6806613003 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 616549 + ... + 617651.

It is an arithmetic number, because the mean of its divisors is an integer number (10620848).

Almost surely, 2680661300 is an apocalyptic number.

680661300 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680661300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147051584).

680661300 is an abundant number, since it is smaller than the sum of its proper divisors (1613441868).

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

680661300 is a wasteful number, since it uses less digits than its factorization.

680661300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 680661300 is about 26089.4863881986. The cubic root of 680661300 is about 879.6509031980.

The spelling of 680661300 in words is "six hundred eighty million, six hundred sixty-one thousand, three hundred".