Search a number
-
+
110096032 = 2519237873
BaseRepresentation
bin1101000111111…
…10111010100000
321200011110100211
412203332322200
5211141033112
614531423504
72504541454
oct643767240
9250143324
10110096032
1157167862
1230a54b94
1319a69ca7
141089c664
1599eb0a7
hex68feea0

110096032 has 48 divisors (see below), whose sum is σ = 238109760. Its totient is φ = 49876992.

The previous prime is 110096027. The next prime is 110096057. The reversal of 110096032 is 230690011.

It is a super-2 number, since 2×1100960322 = 24242272524290048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110095994 and 110096012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10048 + ... + 17920.

It is an arithmetic number, because the mean of its divisors is an integer number (4960620).

Almost surely, 2110096032 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 110096032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119054880).

110096032 is an abundant number, since it is smaller than the sum of its proper divisors (128013728).

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

110096032 is a wasteful number, since it uses less digits than its factorization.

110096032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7925 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 110096032 is about 10492.6656289048. The cubic root of 110096032 is about 479.2813783718.

The spelling of 110096032 in words is "one hundred ten million, ninety-six thousand, thirty-two".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 608 736 874 1748 3496 6992 7873 13984 15746 31492 62984 125968 149587 181079 251936 299174 362158 598348 724316 1196696 1448632 2393392 2897264 3440501 4786784 5794528 6881002 13762004 27524008 55048016 110096032