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116709516 = 223271171593
BaseRepresentation
bin1101111010011…
…01100010001100
322010121110100200
412331031202030
5214334201031
615325253500
72615004660
oct675154214
9263543320
10116709516
115a974650
1233104290
131b2442b1
14117008a0
15a3a58e6
hex6f4d88c

116709516 has 144 divisors (see below), whose sum is σ = 373621248. Its totient is φ = 29836800.

The previous prime is 116709499. The next prime is 116709529. The reversal of 116709516 is 615907611.

It is a happy number.

116709516 is nontrivially palindromic in base 13.

It is a super-2 number, since 2×1167095162 = 27242222249908512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196516 + ... + 197108.

It is an arithmetic number, because the mean of its divisors is an integer number (2594592).

Almost surely, 2116709516 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 116709516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186810624).

116709516 is an abundant number, since it is smaller than the sum of its proper divisors (256911732).

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

116709516 is a wasteful number, since it uses less digits than its factorization.

116709516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 116709516 is about 10803.2178539544. The cubic root of 116709516 is about 488.6922172735.

The spelling of 116709516 in words is "one hundred sixteen million, seven hundred nine thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 71 77 84 99 126 132 142 154 198 213 231 252 284 308 396 426 462 497 593 639 693 781 852 924 994 1186 1278 1386 1491 1562 1779 1988 2343 2372 2556 2772 2982 3124 3558 4151 4473 4686 5337 5467 5964 6523 7029 7116 8302 8946 9372 10674 10934 12453 13046 14058 16401 16604 17892 19569 21348 21868 24906 26092 28116 32802 37359 39138 42103 45661 49203 49812 58707 65604 74718 78276 84206 91322 98406 117414 126309 136983 149436 168412 182644 196812 234828 252618 273966 294721 378927 410949 463133 505236 547932 589442 757854 821898 884163 926266 1178884 1389399 1515708 1643796 1768326 1852532 2652489 2778798 3241931 3536652 4168197 5304978 5557596 6483862 8336394 9725793 10609956 12967724 16672788 19451586 29177379 38903172 58354758 116709516