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711396680 = 235293173271
BaseRepresentation
bin101010011001110…
…000110101001000
31211120121200210012
4222121300311020
52424104143210
6154331411052
723425525541
oct5231606510
91746550705
10711396680
11335623945
1217a2b3a88
13b44cc8a7
146a6a34c8
15426c4305
hex2a670d48

711396680 has 128 divisors (see below), whose sum is σ = 1739059200. Its totient is φ = 261273600.

The previous prime is 711396661. The next prime is 711396683. The reversal of 711396680 is 86693117.

It is not an unprimeable number, because it can be changed into a prime (711396683) 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 31 ways as a sum of consecutive naturals, for example, 2624945 + ... + 2625215.

It is an arithmetic number, because the mean of its divisors is an integer number (13586400).

Almost surely, 2711396680 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 711396680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869529600).

711396680 is an abundant number, since it is smaller than the sum of its proper divisors (1027662520).

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

711396680 is a wasteful number, since it uses less digits than its factorization.

711396680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 711396680 is about 26672.0205458829. The cubic root of 711396680 is about 892.6967315509.

The spelling of 711396680 in words is "seven hundred eleven million, three hundred ninety-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 31 40 58 62 73 116 124 145 146 155 232 248 271 290 292 310 365 542 580 584 620 730 899 1084 1160 1240 1355 1460 1798 2117 2168 2263 2710 2920 3596 4234 4495 4526 5420 7192 7859 8401 8468 8990 9052 10585 10840 11315 15718 16802 16936 17980 18104 19783 21170 22630 31436 33604 35960 39295 39566 42005 42340 45260 62872 65627 67208 78590 79132 84010 84680 90520 98915 131254 157180 158264 168020 197830 243629 262508 314360 328135 336040 395660 487258 525016 573707 613273 656270 791320 974516 1147414 1218145 1226546 1312540 1949032 2294828 2436290 2453092 2625080 2868535 3066365 4589656 4872580 4906184 5737070 6132730 9745160 11474140 12265460 17784917 22948280 24530920 35569834 71139668 88924585 142279336 177849170 355698340 711396680