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245040120 = 233351331563
BaseRepresentation
bin11101001101100…
…00001111111000
3122002002022212000
432212300033320
51000212240440
640152021000
76033543453
oct1646601770
9562068760
10245040120
111163562a6
126a091760
133b9c6c70
142478849a
15167a4730
hexe9b03f8

245040120 has 256 divisors, whose sum is σ = 909619200. Its totient is φ = 58268160.

The previous prime is 245040113. The next prime is 245040127. The reversal of 245040120 is 21040542.

245040120 is a `hidden beast` number, since 245 + 0 + 401 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (245040113) and next prime (245040127).

It is a super-2 number, since 2×2450401202 = 120089320819228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 245040093 and 245040102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245040127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 434959 + ... + 435521.

It is an arithmetic number, because the mean of its divisors is an integer number (3553200).

Almost surely, 2245040120 is an apocalyptic number.

245040120 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 245040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454809600).

245040120 is an abundant number, since it is smaller than the sum of its proper divisors (664579080).

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

245040120 is a wasteful number, since it uses less digits than its factorization.

245040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 245040120 is about 15653.7573764256. The cubic root of 245040120 is about 625.7666283318.

Adding to 245040120 its reverse (21040542), we get a palindrome (266080662).

The spelling of 245040120 in words is "two hundred forty-five million, forty thousand, one hundred twenty".