Search a number
-
+
245873000 = 2353713463
BaseRepresentation
bin11101010011110…
…11100101101000
3122010122122100102
432221323211220
51000420414000
640221524532
76043612622
oct1651734550
9563578312
10245873000
1111687502a
126a413748
133bc290a9
1424923c12
15168bb3d5
hexea7b968

245873000 has 64 divisors (see below), whose sum is σ = 583614720. Its totient is φ = 96936000.

The previous prime is 245872999. The next prime is 245873003. The reversal of 245873000 is 378542.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (245873003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69269 + ... + 72731.

It is an arithmetic number, because the mean of its divisors is an integer number (9118980).

Almost surely, 2245873000 is an apocalyptic number.

245873000 is a gapful number since it is divisible by the number (20) 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 245873000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291807360).

245873000 is an abundant number, since it is smaller than the sum of its proper divisors (337741720).

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

245873000 is a wasteful number, since it uses less digits than its factorization.

245873000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 245873000 is about 15680.3380065610. The cubic root of 245873000 is about 626.4748104904.

The spelling of 245873000 in words is "two hundred forty-five million, eight hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 500 568 710 1000 1420 1775 2840 3463 3550 6926 7100 8875 13852 14200 17315 17750 27704 34630 35500 69260 71000 86575 138520 173150 245873 346300 432875 491746 692600 865750 983492 1229365 1731500 1966984 2458730 3463000 4917460 6146825 9834920 12293650 24587300 30734125 49174600 61468250 122936500 245873000