Search a number
-
+
116037096 = 23372791249
BaseRepresentation
bin1101110101010…
…01010111101000
322002100021222020
412322221113220
5214201141341
615303024440
72606204400
oct672512750
9262307866
10116037096
115a55542a
1232a3b120
131b06a206
14115a7800
15a2c1566
hex6ea95e8

116037096 has 96 divisors (see below), whose sum is σ = 342000000. Its totient is φ = 32707584.

The previous prime is 116037079. The next prime is 116037133. The reversal of 116037096 is 690730611.

It is a super-2 number, since 2×1160370962 = 26929215296226432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92280 + ... + 93528.

It is an arithmetic number, because the mean of its divisors is an integer number (3562500).

Almost surely, 2116037096 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 116037096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171000000).

116037096 is an abundant number, since it is smaller than the sum of its proper divisors (225962904).

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

116037096 is a wasteful number, since it uses less digits than its factorization.

116037096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 116037096 is about 10772.0516151753. The cubic root of 116037096 is about 487.7518782543.

The spelling of 116037096 in words is "one hundred sixteen million, thirty-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 79 84 98 147 158 168 196 237 294 316 392 474 553 588 632 948 1106 1176 1249 1659 1896 2212 2498 3318 3747 3871 4424 4996 6636 7494 7742 8743 9992 11613 13272 14988 15484 17486 23226 26229 29976 30968 34972 46452 52458 61201 69944 92904 98671 104916 122402 183603 197342 209832 244804 296013 367206 394684 489608 592026 690697 734412 789368 1184052 1381394 1468824 2072091 2368104 2762788 4144182 4834879 5525576 8288364 9669758 14504637 16576728 19339516 29009274 38679032 58018548 116037096