Search a number
-
+
114503160 = 23351737241
BaseRepresentation
bin1101101001100…
…10110111111000
321222110100210210
412310302313320
5213303100120
615210111120
72560155312
oct664626770
9258410723
10114503160
11596a7a12
123241b4a0
131a950c65
14112c87b2
15a0bbce0
hex6d32df8

114503160 has 192 divisors, whose sum is σ = 382929120. Its totient is φ = 27279360.

The previous prime is 114503087. The next prime is 114503173. The reversal of 114503160 is 61305411.

It is a super-2 number, since 2×1145031602 = 26221947299971200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2792740 + ... + 2792780.

Almost surely, 2114503160 is an apocalyptic number.

114503160 is a gapful number since it is divisible by the number (10) 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 114503160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191464560).

114503160 is an abundant number, since it is smaller than the sum of its proper divisors (268425960).

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

114503160 is a wasteful number, since it uses less digits than its factorization.

114503160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 114503160 is about 10700.6149356007. The cubic root of 114503160 is about 485.5930818024.

Adding to 114503160 its reverse (61305411), we get a palindrome (175808571).

The spelling of 114503160 in words is "one hundred fourteen million, five hundred three thousand, one hundred sixty".