Search a number
-
+
115590984 = 23319298741
BaseRepresentation
bin1101110001111…
…00011101001000
322001111122000120
412320330131020
5214042402414
615245303240
72602335645
oct670743510
9261448016
10115590984
115a280243
1232864b20
131ac42142
14114ccdcc
15a2342a9
hex6e3c748

115590984 has 64 divisors (see below), whose sum is σ = 314712000. Its totient is φ = 35239680.

The previous prime is 115590967. The next prime is 115590991. The reversal of 115590984 is 489095511.

It is a super-3 number, since 3×1155909843 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8854 + ... + 17594.

It is an arithmetic number, because the mean of its divisors is an integer number (4917375).

Almost surely, 2115590984 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 115590984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157356000).

115590984 is an abundant number, since it is smaller than the sum of its proper divisors (199121016).

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

115590984 is a wasteful number, since it uses less digits than its factorization.

115590984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8798 (or 8794 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The square root of 115590984 is about 10751.3247555824. The cubic root of 115590984 is about 487.1260111272.

The spelling of 115590984 in words is "one hundred fifteen million, five hundred ninety thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 348 456 551 696 1102 1653 2204 3306 4408 6612 8741 13224 17482 26223 34964 52446 69928 104892 166079 209784 253489 332158 498237 506978 664316 760467 996474 1013956 1328632 1520934 1992948 2027912 3041868 3985896 4816291 6083736 9632582 14448873 19265164 28897746 38530328 57795492 115590984