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245359680 = 2635431593
BaseRepresentation
bin11101001111111…
…10010001000000
3122002200120012120
432213332101000
51000303002210
640202524240
76036344226
oct1647762100
9562616176
10245359680
111165543a5
126a206680
133baa9557
142482cb16
1516819270
hexe9fe440

245359680 has 112 divisors (see below), whose sum is σ = 782141184. Its totient is φ = 65167360.

The previous prime is 245359679. The next prime is 245359717. The reversal of 245359680 is 86953542.

245359680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 413464 + ... + 414056.

Almost surely, 2245359680 is an apocalyptic number.

245359680 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 245359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391070592).

245359680 is an abundant number, since it is smaller than the sum of its proper divisors (536781504).

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

245359680 is a wasteful number, since it uses less digits than its factorization.

245359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 245359680 is about 15663.9611848344. The cubic root of 245359680 is about 626.0385336275.

The spelling of 245359680 in words is "two hundred forty-five million, three hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 431 480 593 862 960 1186 1293 1724 1779 2155 2372 2586 2965 3448 3558 4310 4744 5172 5930 6465 6896 7116 8620 8895 9488 10344 11860 12930 13792 14232 17240 17790 18976 20688 23720 25860 27584 28464 34480 35580 37952 41376 47440 51720 56928 68960 71160 82752 94880 103440 113856 137920 142320 189760 206880 255583 284640 413760 511166 569280 766749 1022332 1277915 1533498 2044664 2555830 3066996 3833745 4089328 5111660 6133992 7667490 8178656 10223320 12267984 15334980 16357312 20446640 24535968 30669960 40893280 49071936 61339920 81786560 122679840 245359680