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245265540 = 223513383821
BaseRepresentation
bin11101001111001…
…11010010000100
3122002111210001220
432213213102010
51000241444130
640200520340
76035502612
oct1647472204
9562453056
10245265540
1111649a6a3
126a1800b0
133ba75750
14248066b2
15167eb410
hexe9e7484

245265540 has 96 divisors (see below), whose sum is σ = 742404096. Its totient is φ = 60142080.

The previous prime is 245265539. The next prime is 245265551. The reversal of 245265540 is 45562542.

245265540 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2452655402 = 120310370222983200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298330 + ... + 299150.

It is an arithmetic number, because the mean of its divisors is an integer number (7733376).

Almost surely, 2245265540 is an apocalyptic number.

245265540 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 245265540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371202048).

245265540 is an abundant number, since it is smaller than the sum of its proper divisors (497138556).

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

245265540 is a wasteful number, since it uses less digits than its factorization.

245265540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 245265540 is about 15660.9559095223. The cubic root of 245265540 is about 625.9584568919.

The spelling of 245265540 in words is "two hundred forty-five million, two hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 383 390 766 780 821 1149 1532 1642 1915 2298 2463 3284 3830 4105 4596 4926 4979 5745 7660 8210 9852 9958 10673 11490 12315 14937 16420 19916 21346 22980 24630 24895 29874 32019 42692 49260 49790 53365 59748 64038 74685 99580 106730 128076 149370 160095 213460 298740 314443 320190 628886 640380 943329 1257772 1572215 1886658 3144430 3773316 4087759 4716645 6288860 8175518 9433290 12263277 16351036 18866580 20438795 24526554 40877590 49053108 61316385 81755180 122632770 245265540