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245704020 = 223571137421
BaseRepresentation
bin11101010010100…
…10010101010100
3122010100001112220
432221102111110
51000400012040
640214142340
76042310152
oct1651222524
9563301486
10245704020
1111676a081
126a3519b0
133bb9a1c3
14248bc3d2
15168862d0
hexea52554

245704020 has 96 divisors (see below), whose sum is σ = 704422656. Its totient is φ = 63974400.

The previous prime is 245703989. The next prime is 245704031. The reversal of 245704020 is 20407542.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 583410 + ... + 583830.

It is an arithmetic number, because the mean of its divisors is an integer number (7337736).

Almost surely, 2245704020 is an apocalyptic number.

245704020 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 245704020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352211328).

245704020 is an abundant number, since it is smaller than the sum of its proper divisors (458718636).

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

245704020 is a wasteful number, since it uses less digits than its factorization.

245704020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 245704020 is about 15674.9488037441. The cubic root of 245704020 is about 626.3312594506.

The spelling of 245704020 in words is "two hundred forty-five million, seven hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 137 142 213 274 284 355 411 421 426 548 685 710 822 842 852 1065 1263 1370 1420 1644 1684 2055 2105 2130 2526 2740 4110 4210 4260 5052 6315 8220 8420 9727 12630 19454 25260 29181 29891 38908 48635 57677 58362 59782 89673 97270 115354 116724 119564 145905 149455 173031 179346 194540 230708 288385 291810 298910 346062 358692 448365 576770 583620 597820 692124 865155 896730 1153540 1730310 1793460 3460620 4095067 8190134 12285201 16380268 20475335 24570402 40950670 49140804 61426005 81901340 122852010 245704020