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245606240 = 25511532633
BaseRepresentation
bin11101010001110…
…10011101100000
3122010011002102102
432220322131200
51000333344430
640212105532
76041422115
oct1650723540
9563132372
10245606240
11116702670
126a3052a8
133bb64849
142489490c
1516867345
hexea3a760

245606240 has 96 divisors (see below), whose sum is σ = 645182496. Its totient is φ = 87592960.

The previous prime is 245606227. The next prime is 245606279. The reversal of 245606240 is 42606542.

245606240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 91964 + ... + 94596.

It is an arithmetic number, because the mean of its divisors is an integer number (6720651).

Almost surely, 2245606240 is an apocalyptic number.

245606240 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 245606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322591248).

245606240 is an abundant number, since it is smaller than the sum of its proper divisors (399576256).

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

245606240 is a wasteful number, since it uses less digits than its factorization.

245606240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 245606240 is about 15671.8295039220. The cubic root of 245606240 is about 626.2481638134.

The spelling of 245606240 in words is "two hundred forty-five million, six hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 80 88 106 110 160 176 212 220 265 352 424 440 530 583 848 880 1060 1166 1696 1760 2120 2332 2633 2915 4240 4664 5266 5830 8480 9328 10532 11660 13165 18656 21064 23320 26330 28963 42128 46640 52660 57926 84256 93280 105320 115852 139549 144815 210640 231704 279098 289630 421280 463408 558196 579260 697745 926816 1116392 1158520 1395490 1535039 2232784 2317040 2790980 3070078 4465568 4634080 5581960 6140156 7675195 11163920 12280312 15350390 22327840 24560624 30700780 49121248 61401560 122803120 245606240