Search a number
-
+
207316480 = 295723503
BaseRepresentation
bin11000101101101…
…10011000000000
3112110002202202011
430112312120000
5411033111410
632323302304
75065106140
oct1426663000
9473082664
10207316480
11a702aa38
125951a994
1333c49597
141d768920
151330218a
hexc5b6600

207316480 has 160 divisors (see below), whose sum is σ = 593961984. Its totient is φ = 67854336.

The previous prime is 207316477. The next prime is 207316481. The reversal of 207316480 is 84613702.

207316480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207316481) 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, 411909 + ... + 412411.

Almost surely, 2207316480 is an apocalyptic number.

207316480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296980992).

207316480 is an abundant number, since it is smaller than the sum of its proper divisors (386645504).

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

207316480 is an equidigital number, since it uses as much as digits as its factorization.

207316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 207316480 is about 14398.4888095939. The cubic root of 207316480 is about 591.8494869369.

The spelling of 207316480 in words is "two hundred seven million, three hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 128 140 160 161 184 224 230 256 280 320 322 368 448 460 503 512 560 640 644 736 805 896 920 1006 1120 1280 1288 1472 1610 1792 1840 2012 2240 2515 2560 2576 2944 3220 3521 3584 3680 4024 4480 5030 5152 5888 6440 7042 7360 8048 8960 10060 10304 11569 11776 12880 14084 14720 16096 17605 17920 20120 20608 23138 25760 28168 29440 32192 35210 40240 41216 46276 51520 56336 57845 58880 64384 70420 80480 80983 82432 92552 103040 112672 115690 128768 140840 160960 161966 185104 206080 225344 231380 257536 281680 321920 323932 370208 404915 412160 450688 462760 563360 643840 647864 740416 809830 901376 925520 1126720 1287680 1295728 1480832 1619660 1802752 1851040 2253440 2591456 2961664 3239320 3702080 4506880 5182912 5923328 6478640 7404160 9013760 10365824 12957280 14808320 20731648 25914560 29616640 41463296 51829120 103658240 207316480