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295125240 = 23353078011
BaseRepresentation
bin10001100101110…
…100000011111000
3202120022220201110
4101211310003320
51101023001430
645141320320
710212344304
oct2145640370
9676286643
10295125240
11141654a63
1282a060a0
13491b2027
142b2a4d04
151ad997b0
hex119740f8

295125240 has 64 divisors (see below), whose sum is σ = 888370560. Its totient is φ = 78433920.

The previous prime is 295125223. The next prime is 295125247. The reversal of 295125240 is 42521592.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 295125198 and 295125207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (295125247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32835 + ... + 40845.

It is an arithmetic number, because the mean of its divisors is an integer number (13880790).

Almost surely, 2295125240 is an apocalyptic number.

295125240 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 295125240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444185280).

295125240 is an abundant number, since it is smaller than the sum of its proper divisors (593245320).

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

295125240 is a wasteful number, since it uses less digits than its factorization.

295125240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8332 (or 8328 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 295125240 is about 17179.2095277984. The cubic root of 295125240 is about 665.7872148012.

The spelling of 295125240 in words is "two hundred ninety-five million, one hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 614 921 1228 1535 1842 2456 3070 3684 4605 6140 7368 8011 9210 12280 16022 18420 24033 32044 36840 40055 48066 64088 80110 96132 120165 160220 192264 240330 320440 480660 961320 2459377 4918754 7378131 9837508 12296885 14756262 19675016 24593770 29512524 36890655 49187540 59025048 73781310 98375080 147562620 295125240