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245705620 = 225411092749
BaseRepresentation
bin11101010010100…
…10101110010100
3122010100010202011
432221102232110
51000400034440
640214154004
76042314626
oct1651225624
9563303664
10245705620
111167702a6
126a352904
133bb9ab54
14248bcc16
15168869ea
hexea52b94

245705620 has 48 divisors (see below), whose sum is σ = 533610000. Its totient is φ = 94970880.

The previous prime is 245705611. The next prime is 245705633. The reversal of 245705620 is 26507542.

245705620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 50041476 + 195664144 = 7074^2 + 13988^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88006 + ... + 90754.

It is an arithmetic number, because the mean of its divisors is an integer number (11116875).

Almost surely, 2245705620 is an apocalyptic number.

245705620 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 245705620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266805000).

245705620 is an abundant number, since it is smaller than the sum of its proper divisors (287904380).

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

245705620 is a wasteful number, since it uses less digits than its factorization.

245705620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 245705620 is about 15674.9998405104. Note that the first 3 decimals coincide. The cubic root of 245705620 is about 626.3326189832.

The spelling of 245705620 in words is "two hundred forty-five million, seven hundred five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 109 164 205 218 410 436 545 820 1090 2180 2749 4469 5498 8938 10996 13745 17876 22345 27490 44690 54980 89380 112709 225418 299641 450836 563545 599282 1127090 1198564 1498205 2254180 2996410 5992820 12285281 24570562 49141124 61426405 122852810 245705620