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96116034 = 23723294773
BaseRepresentation
bin1011011101010…
…01110101000010
320200212012102010
411232221311002
5144101203114
613312033350
72244654450
oct556516502
9220765363
1096116034
114a289443
1228232856
1316bb39c1
14ca9d9d0
158688c59
hex5ba9d42

96116034 has 128 divisors (see below), whose sum is σ = 245514240. Its totient is φ = 24482304.

The previous prime is 96116029. The next prime is 96116071. The reversal of 96116034 is 43061169.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 96115992 and 96116010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1316622 + ... + 1316694.

It is an arithmetic number, because the mean of its divisors is an integer number (1918080).

Almost surely, 296116034 is an apocalyptic number.

96116034 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96116034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122757120).

96116034 is an abundant number, since it is smaller than the sum of its proper divisors (149398206).

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

96116034 is a wasteful number, since it uses less digits than its factorization.

96116034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 96116034 is about 9803.8785182192. The cubic root of 96116034 is about 458.0701029844.

The spelling of 96116034 in words is "ninety-six million, one hundred sixteen thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 23 29 42 46 47 58 69 73 87 94 138 141 146 161 174 203 219 282 322 329 406 438 483 511 609 658 667 966 987 1022 1081 1218 1334 1363 1533 1679 1974 2001 2117 2162 2726 3066 3243 3358 3431 4002 4089 4234 4669 5037 6351 6486 6862 7567 8178 9338 9541 10074 10293 11753 12702 14007 14819 15134 19082 20586 22701 23506 24017 28014 28623 29638 31349 35259 44457 45402 48034 48691 57246 62698 70518 72051 78913 88914 94047 97382 99499 144102 146073 157826 188094 198998 219443 236739 292146 298497 340837 438886 473478 552391 596994 658329 681674 696493 1022511 1104782 1316658 1392986 1657173 2045022 2089479 2288477 3314346 4178958 4576954 6865431 13730862 16019339 32038678 48058017 96116034