Search a number
-
+
245603880 = 233351911969
BaseRepresentation
bin11101010001110…
…01111000101000
3122010010222012000
432220321320220
51000333311010
640212051000
76041412204
oct1650717050
9563128160
10245603880
11116700915
126a303a60
133bb63752
1424893b04
15168667c0
hexea39e28

245603880 has 128 divisors (see below), whose sum is σ = 861840000. Its totient is φ = 62042112.

The previous prime is 245603863. The next prime is 245603881. The reversal of 245603880 is 88306542.

245603880 is a `hidden beast` number, since 2 + 45 + 603 + 8 + 8 + 0 = 666.

245603880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2456038803 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (245603881) 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, 14536 + ... + 26504.

It is an arithmetic number, because the mean of its divisors is an integer number (6733125).

Almost surely, 2245603880 is an apocalyptic number.

245603880 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 245603880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430920000).

245603880 is an abundant number, since it is smaller than the sum of its proper divisors (616236120).

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

245603880 is a wasteful number, since it uses less digits than its factorization.

245603880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12008 (or 11998 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 245603880 is about 15671.7542094049. The cubic root of 245603880 is about 626.2461579599.

The spelling of 245603880 in words is "two hundred forty-five million, six hundred three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 11969 20520 23938 35907 47876 59845 71814 95752 107721 119690 143628 179535 215442 227411 239380 287256 323163 359070 430884 454822 478760 538605 646326 682233 718140 861768 909644 1077210 1137055 1292652 1364466 1436280 1615815 1819288 2046699 2154420 2274110 2585304 2728932 3231630 3411165 4093398 4308840 4548220 5457864 6140097 6463260 6822330 8186796 9096440 10233495 12280194 12926520 13644660 16373592 20466990 24560388 27289320 30700485 40933980 49120776 61400970 81867960 122801940 245603880