Search a number
-
+
711090672 = 243294091249
BaseRepresentation
bin101010011000100…
…110000111110000
31211120001011000120
4222120212013300
52424014400142
6154321050240
723423112435
oct5230460760
91746034016
10711090672
11335434a46
1217a186980
13b4423516
146a623b8c
15426637ec
hex2a6261f0

711090672 has 80 divisors (see below), whose sum is σ = 1906500000. Its totient is φ = 228114432.

The previous prime is 711090659. The next prime is 711090673. The reversal of 711090672 is 276090117.

It is a super-3 number, since 3×7110906723 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (711090673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568704 + ... + 569952.

It is an arithmetic number, because the mean of its divisors is an integer number (23831250).

Almost surely, 2711090672 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 711090672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953250000).

711090672 is an abundant number, since it is smaller than the sum of its proper divisors (1195409328).

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

711090672 is a wasteful number, since it uses less digits than its factorization.

711090672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 711090672 is about 26666.2834305795. The cubic root of 711090672 is about 892.5687150603.

The spelling of 711090672 in words is "seven hundred eleven million, ninety thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 409 464 696 818 1227 1249 1392 1636 2454 2498 3272 3747 4908 4996 6544 7494 9816 9992 11861 14988 19632 19984 23722 29976 35583 36221 47444 59952 71166 72442 94888 108663 142332 144884 189776 217326 284664 289768 434652 510841 569328 579536 869304 1021682 1532523 1738608 2043364 3065046 4086728 6130092 8173456 12260184 14814389 24520368 29628778 44443167 59257556 88886334 118515112 177772668 237030224 355545336 711090672