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246045540 = 223513331953
BaseRepresentation
bin11101010101001…
…01101101100100
3122010222102000210
432222211231210
51000441424130
640225335420
76045231636
oct1652455544
9563872023
10246045540
11116982724
126a497570
133bc897a0
142496aa56
15169025b0
hexeaa5b64

246045540 has 96 divisors (see below), whose sum is σ = 744944256. Its totient is φ = 60318720.

The previous prime is 246045529. The next prime is 246045563. The reversal of 246045540 is 45540642.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 246045498 and 246045507.

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, 257704 + ... + 258656.

It is an arithmetic number, because the mean of its divisors is an integer number (7759836).

Almost surely, 2246045540 is an apocalyptic number.

246045540 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 246045540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372472128).

246045540 is an abundant number, since it is smaller than the sum of its proper divisors (498898716).

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

246045540 is a wasteful number, since it uses less digits than its factorization.

246045540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 246045540 is about 15685.8388363517. The cubic root of 246045540 is about 626.6213179548.

The spelling of 246045540 in words is "two hundred forty-six million, forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 331 390 662 780 953 993 1324 1655 1906 1986 2859 3310 3812 3972 4303 4765 4965 5718 6620 8606 9530 9930 11436 12389 12909 14295 17212 19060 19860 21515 24778 25818 28590 37167 43030 49556 51636 57180 61945 64545 74334 86060 123890 129090 148668 185835 247780 258180 315443 371670 630886 743340 946329 1261772 1577215 1892658 3154430 3785316 4100759 4731645 6308860 8201518 9463290 12302277 16403036 18926580 20503795 24604554 41007590 49209108 61511385 82015180 123022770 246045540