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116299152 = 2434194723
BaseRepresentation
bin1101110111010…
…01010110010000
322002211121110000
412323221112100
5214233033102
615312410000
72611345404
oct673512620
9262747400
10116299152
115a714302
1232b46900
131b12c588
1411635104
15a32401c
hex6ee9590

116299152 has 100 divisors (see below), whose sum is σ = 354394480. Its totient is φ = 36718272.

The previous prime is 116299121. The next prime is 116299153. The reversal of 116299152 is 251992611.

116299152 is a `hidden beast` number, since 11 + 629 + 9 + 15 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (116299153) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22263 + ... + 26985.

Almost surely, 2116299152 is an apocalyptic number.

116299152 is a gapful number since it is divisible by the number (12) 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 116299152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177197240).

116299152 is an abundant number, since it is smaller than the sum of its proper divisors (238095328).

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

116299152 is a wasteful number, since it uses less digits than its factorization.

116299152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4762 (or 4747 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The square root of 116299152 is about 10784.2084549586. The cubic root of 116299152 is about 488.1187787552.

The spelling of 116299152 in words is "one hundred sixteen million, two hundred ninety-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 304 324 342 432 456 513 648 684 912 1026 1296 1368 1539 2052 2736 3078 4104 4723 6156 8208 9446 12312 14169 18892 24624 28338 37784 42507 56676 75568 85014 89737 113352 127521 170028 179474 226704 255042 269211 340056 358948 382563 510084 538422 680112 717896 765126 807633 1020168 1076844 1435792 1530252 1615266 2040336 2153688 2422899 3060504 3230532 4307376 4845798 6121008 6461064 7268697 9691596 12922128 14537394 19383192 29074788 38766384 58149576 116299152