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116460624 = 24372711279
BaseRepresentation
bin1101111000100…
…00110001010000
322010010210221110
412330100301100
5214303214444
615320053320
72612620230
oct674206120
9263123843
10116460624
115a814655
1233004240
131b187c17
1411677cc0
15a356cb9
hex6f10c50

116460624 has 80 divisors (see below), whose sum is σ = 345374720. Its totient is φ = 33125760.

The previous prime is 116460611. The next prime is 116460629. The reversal of 116460624 is 426064611.

It is a junction number, because it is equal to n+sod(n) for n = 116460591 and 116460600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116460629) 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, 90417 + ... + 91695.

It is an arithmetic number, because the mean of its divisors is an integer number (4317184).

Almost surely, 2116460624 is an apocalyptic number.

116460624 is a gapful number since it is divisible by the number (14) 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 116460624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172687360).

116460624 is an abundant number, since it is smaller than the sum of its proper divisors (228914096).

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

116460624 is a wasteful number, since it uses less digits than its factorization.

116460624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 116460624 is about 10791.6923603298. The cubic root of 116460624 is about 488.3445788146.

The spelling of 116460624 in words is "one hundred sixteen million, four hundred sixty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 271 336 542 813 1084 1279 1626 1897 2168 2558 3252 3794 3837 4336 5116 5691 6504 7588 7674 8953 10232 11382 13008 15176 15348 17906 20464 22764 26859 30352 30696 35812 45528 53718 61392 71624 91056 107436 143248 214872 346609 429744 693218 1039827 1386436 2079654 2426263 2772872 4159308 4852526 5545744 7278789 8318616 9705052 14557578 16637232 19410104 29115156 38820208 58230312 116460624