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2706518240 = 255314113309
BaseRepresentation
bin1010000101010010…
…0011000011100000
320222121210101001022
42201110203003200
521020332040430
61124322025012
7124033011506
oct24124430340
96877711038
102706518240
111169839238
126364a8168
133419595aa
141b964c676
1510c9214e5
hexa15230e0

2706518240 has 96 divisors (see below), whose sum is σ = 6761905920. Its totient is φ = 1022054400.

The previous prime is 2706518231. The next prime is 2706518249. The reversal of 2706518240 is 428156072.

It is an interprime number because it is at equal distance from previous prime (2706518231) and next prime (2706518249).

It is a self number, because there is not a number n which added to its sum of digits gives 2706518240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2706518249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196706 + ... + 210014.

It is an arithmetic number, because the mean of its divisors is an integer number (70436520).

Almost surely, 22706518240 is an apocalyptic number.

2706518240 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 2706518240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380952960).

2706518240 is an abundant number, since it is smaller than the sum of its proper divisors (4055387680).

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

2706518240 is a wasteful number, since it uses less digits than its factorization.

2706518240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13396 (or 13388 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 2706518240 is about 52024.2082111780. The cubic root of 2706518240 is about 1393.5963047422.

The spelling of 2706518240 in words is "two billion, seven hundred six million, five hundred eighteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 41 62 80 82 124 155 160 164 205 248 310 328 410 496 620 656 820 992 1240 1271 1312 1640 2480 2542 3280 4960 5084 6355 6560 10168 12710 13309 20336 25420 26618 40672 50840 53236 66545 101680 106472 133090 203360 212944 266180 412579 425888 532360 545669 825158 1064720 1091338 1650316 2062895 2129440 2182676 2728345 3300632 4125790 4365352 5456690 6601264 8251580 8730704 10913380 13202528 16503160 16915739 17461408 21826760 33006320 33831478 43653520 66012640 67662956 84578695 87307040 135325912 169157390 270651824 338314780 541303648 676629560 1353259120 2706518240