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2706116232 = 2333117232111
BaseRepresentation
bin1010000101001100…
…0000111010001000
320222121000221121010
42201103000322020
521020231204412
61124305243520
7124026415461
oct24123007210
96877027533
102706116232
1111695941a6
126363335a0
13341848611
141b9585d68
1510c89233c
hexa14c0e88

2706116232 has 64 divisors (see below), whose sum is σ = 6990888960. Its totient is φ = 872020800.

The previous prime is 2706116197. The next prime is 2706116239. The reversal of 2706116232 is 2326116072.

It is a super-2 number, since 2×27061162322 = 14646130122187755648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2706116232.

It is not an unprimeable number, because it can be changed into a prime (2706116239) 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, 1280857 + ... + 1282967.

It is an arithmetic number, because the mean of its divisors is an integer number (109232640).

Almost surely, 22706116232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2706116232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495444480).

2706116232 is an abundant number, since it is smaller than the sum of its proper divisors (4284772728).

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

2706116232 is a wasteful number, since it uses less digits than its factorization.

2706116232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2706116232 is about 52020.3444048576. The cubic root of 2706116232 is about 1393.5273028544.

The spelling of 2706116232 in words is "two billion, seven hundred six million, one hundred sixteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1723 2111 3446 4222 5169 6333 6892 8444 10338 12666 13784 16888 20676 25332 41352 50664 53413 65441 106826 130882 160239 196323 213652 261764 320478 392646 427304 523528 640956 785292 1281912 1570584 3637253 7274506 10911759 14549012 21823518 29098024 43647036 87294072 112754843 225509686 338264529 451019372 676529058 902038744 1353058116 2706116232