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116517324 = 223711472683
BaseRepresentation
bin1101111000111…
…10100111001100
322010020200201110
412330132213030
5214312023244
615321212020
72613244440
oct674364714
9263220643
10116517324
115a853210
1233031010
131b1a7981
1411690820
15a3689b9
hex6f1e9cc

116517324 has 96 divisors (see below), whose sum is σ = 346300416. Its totient is φ = 29609280.

The previous prime is 116517301. The next prime is 116517341. The reversal of 116517324 is 423715611.

It is a junction number, because it is equal to n+sod(n) for n = 116517291 and 116517300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42087 + ... + 44769.

It is an arithmetic number, because the mean of its divisors is an integer number (3607296).

Almost surely, 2116517324 is an apocalyptic number.

116517324 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 116517324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173150208).

116517324 is an abundant number, since it is smaller than the sum of its proper divisors (229783092).

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

116517324 is a wasteful number, since it uses less digits than its factorization.

116517324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2753 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 116517324 is about 10794.3190614323. The cubic root of 116517324 is about 488.4238177434.

The spelling of 116517324 in words is "one hundred sixteen million, five hundred seventeen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 47 66 77 84 94 132 141 154 188 231 282 308 329 462 517 564 658 924 987 1034 1316 1551 1974 2068 2683 3102 3619 3948 5366 6204 7238 8049 10732 10857 14476 16098 18781 21714 29513 32196 37562 43428 56343 59026 75124 88539 112686 118052 126101 177078 206591 225372 252202 354156 378303 413182 504404 619773 756606 826364 882707 1239546 1387111 1513212 1765414 2479092 2648121 2774222 3530828 4161333 5296242 5548444 8322666 9709777 10592484 16645332 19419554 29129331 38839108 58258662 116517324