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716836640 = 25513734721
BaseRepresentation
bin101010101110100…
…000111100100000
31211221212002000012
4222232200330200
52432002233030
6155044144052
723523003512
oct5256407440
91757762005
10716836640
113386a9a83
12180098028
13b56859c0
146b2bbbb2
1542deb095
hex2aba0f20

716836640 has 96 divisors (see below), whose sum is σ = 1849172976. Its totient is φ = 260997120.

The previous prime is 716836633. The next prime is 716836643. The reversal of 716836640 is 46638617.

It can be written as a sum of positive squares in 8 ways, for example, as 210946576 + 505890064 = 14524^2 + 22492^2 .

It is not an unprimeable number, because it can be changed into a prime (716836643) 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, 149480 + ... + 154200.

Almost surely, 2716836640 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 716836640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924586488).

716836640 is an abundant number, since it is smaller than the sum of its proper divisors (1132336336).

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

716836640 is a wasteful number, since it uses less digits than its factorization.

716836640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 716836640 is about 26773.8051087252. The cubic root of 716836640 is about 894.9664022010.

The spelling of 716836640 in words is "seven hundred sixteen million, eight hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 73 80 104 130 146 160 208 260 292 365 416 520 584 730 949 1040 1168 1460 1898 2080 2336 2920 3796 4721 4745 5840 7592 9442 9490 11680 15184 18884 18980 23605 30368 37768 37960 47210 61373 75536 75920 94420 122746 151072 151840 188840 245492 306865 344633 377680 490984 613730 689266 755360 981968 1227460 1378532 1723165 1963936 2454920 2757064 3446330 4480229 4909840 5514128 6892660 8960458 9819680 11028256 13785320 17920916 22401145 27570640 35841832 44802290 55141280 71683664 89604580 143367328 179209160 358418320 716836640