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245073900 = 223525631451
BaseRepresentation
bin11101001101110…
…00011111101100
3122002011001012010
432212320133230
51000214331100
640152441220
76034044111
oct1646703754
9562131163
10245073900
11116379715
126a0a9210
133ba09456
1424796908
15167ae750
hexe9b87ec

245073900 has 72 divisors (see below), whose sum is σ = 710829504. Its totient is φ = 65192000.

The previous prime is 245073893. The next prime is 245073911. The reversal of 245073900 is 9370542.

It is a super-2 number, since 2×2450739002 = 120122432922420000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168175 + ... + 169625.

It is an arithmetic number, because the mean of its divisors is an integer number (9872632).

Almost surely, 2245073900 is an apocalyptic number.

245073900 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 245073900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355414752).

245073900 is an abundant number, since it is smaller than the sum of its proper divisors (465755604).

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

245073900 is a wasteful number, since it uses less digits than its factorization.

245073900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 245073900 is about 15654.8363134208. The cubic root of 245073900 is about 625.7953820252.

The spelling of 245073900 in words is "two hundred forty-five million, seventy-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 563 1126 1451 1689 2252 2815 2902 3378 4353 5630 5804 6756 7255 8445 8706 11260 14075 14510 16890 17412 21765 28150 29020 33780 36275 42225 43530 56300 72550 84450 87060 108825 145100 168900 217650 435300 816913 1633826 2450739 3267652 4084565 4901478 8169130 9802956 12253695 16338260 20422825 24507390 40845650 49014780 61268475 81691300 122536950 245073900