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713031680 = 223517
BaseRepresentation
bin101010100000000…
…000000000000000
31211200200202120202
4222200000000000
52430014003210
6154430424332
723445445364
oct5240000000
91750622522
10713031680
11336540289
1217a9620a8
13b4952b4a
146a9ab2a4
15428e89a5
hex2a800000

713031680 has 96 divisors (see below), whose sum is σ = 1811939220. Its totient is φ = 268435456.

The previous prime is 713031659. The next prime is 713031703. The reversal of 713031680 is 86130317.

It can be written as a sum of positive squares in 2 ways, for example, as 708837376 + 4194304 = 26624^2 + 2048^2 .

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is an unprimeable number.

In principle, a polygon with 713031680 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41943032 + ... + 41943048.

Almost surely, 2713031680 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 713031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905969610).

713031680 is an abundant number, since it is smaller than the sum of its proper divisors (1098907540).

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

713031680 is an frugal number, since it uses more digits than its factorization.

713031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 713031680 is about 26702.6530517100. The cubic root of 713031680 is about 893.3801020043.

Adding to 713031680 its reverse (86130317), we get a palindrome (799161997).

The spelling of 713031680 in words is "seven hundred thirteen million, thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2048 2176 2560 2720 4096 4352 5120 5440 8192 8704 10240 10880 16384 17408 20480 21760 32768 34816 40960 43520 65536 69632 81920 87040 131072 139264 163840 174080 262144 278528 327680 348160 524288 557056 655360 696320 1048576 1114112 1310720 1392640 2097152 2228224 2621440 2785280 4194304 4456448 5242880 5570560 8388608 8912896 10485760 11141120 17825792 20971520 22282240 35651584 41943040 44564480 71303168 89128960 142606336 178257920 356515840 713031680