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245104000 = 275315319
BaseRepresentation
bin11101001101111…
…11110110000000
3122002012120110221
432212333312000
51000221312000
640153232424
76034230631
oct1646776600
9562176427
10245104000
1111639a299
126a102714
133ba1a06b
14247a3888
15167b861a
hexe9bfd80

245104000 has 64 divisors (see below), whose sum is σ = 609429600. Its totient is φ = 98035200.

The previous prime is 245103973. The next prime is 245104001. The reversal of 245104000 is 401542.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245104001) 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, 8341 + ... + 23659.

Almost surely, 2245104000 is an apocalyptic number.

245104000 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 245104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304714800).

245104000 is an abundant number, since it is smaller than the sum of its proper divisors (364325600).

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

245104000 is an equidigital number, since it uses as much as digits as its factorization.

245104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15348 (or 15326 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 245104000 is about 15655.7976481558. The cubic root of 245104000 is about 625.8210010594.

Adding to 245104000 its reverse (401542), we get a palindrome (245505542).

The spelling of 245104000 in words is "two hundred forty-five million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 15319 16000 30638 61276 76595 122552 153190 245104 306380 382975 490208 612760 765950 980416 1225520 1531900 1914875 1960832 2451040 3063800 3829750 4902080 6127600 7659500 9804160 12255200 15319000 24510400 30638000 49020800 61276000 122552000 245104000