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245785540 = 2257111312277
BaseRepresentation
bin11101010011001…
…10001111000100
3122010111012101011
432221212033010
51000410114130
640220012004
76043066630
oct1651461704
9563435334
10245785540
11116815350
126a391004
133bbc8340
14248dddc0
15168a052a
hexea663c4

245785540 has 96 divisors (see below), whose sum is σ = 693068544. Its totient is φ = 70709760.

The previous prime is 245785481. The next prime is 245785543. The reversal of 245785540 is 45587542.

245785540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 245785493 and 245785502.

It is not an unprimeable number, because it can be changed into a prime (245785543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13882 + ... + 26158.

It is an arithmetic number, because the mean of its divisors is an integer number (7219464).

Almost surely, 2245785540 is an apocalyptic number.

245785540 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 245785540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346534272).

245785540 is an abundant number, since it is smaller than the sum of its proper divisors (447283004).

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

245785540 is a wasteful number, since it uses less digits than its factorization.

245785540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12317 (or 12315 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 40.

The square root of 245785540 is about 15677.5489155671. The cubic root of 245785540 is about 626.4005201252.

The spelling of 245785540 in words is "two hundred forty-five million, seven hundred eighty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 12277 20020 24554 49108 61385 85939 122770 135047 159601 171878 245540 270094 319202 343756 429695 540188 638404 675235 798005 859390 945329 1117207 1350470 1596010 1718780 1755611 1890658 2234414 2700940 3192020 3511222 3781316 4468828 4726645 5586035 7022444 8778055 9453290 11172070 12289277 17556110 18906580 22344140 24578554 35112220 49157108 61446385 122892770 245785540