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245954020 = 225138531109
BaseRepresentation
bin11101010100011…
…11010111100100
3122010210202111011
432222033113210
51000431012040
640223352004
76044401054
oct1652172744
9563722434
10245954020
1111691a994
126a452604
133bc56c30
1424945564
15168d53ea
hexea8f5e4

245954020 has 48 divisors (see below), whose sum is σ = 557388720. Its totient is φ = 90625536.

The previous prime is 245954003. The next prime is 245954021. The reversal of 245954020 is 20459542.

It can be written as a sum of positive squares in 8 ways, for example, as 142850304 + 103103716 = 11952^2 + 10154^2 .

It is not an unprimeable number, because it can be changed into a prime (245954021) 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, 221226 + ... + 222334.

It is an arithmetic number, because the mean of its divisors is an integer number (11612265).

Almost surely, 2245954020 is an apocalyptic number.

245954020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245954020 is an abundant number, since it is smaller than the sum of its proper divisors (311434700).

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

245954020 is a wasteful number, since it uses less digits than its factorization.

245954020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 245954020 is about 15682.9212839955. The cubic root of 245954020 is about 626.5436148664.

The spelling of 245954020 in words is "two hundred forty-five million, nine hundred fifty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 853 1109 1706 2218 3412 4265 4436 5545 8530 11089 11090 14417 17060 22178 22180 28834 44356 55445 57668 72085 110890 144170 221780 288340 945977 1891954 3783908 4729885 9459770 12297701 18919540 24595402 49190804 61488505 122977010 245954020