Search a number
-
+
114137560 = 23519179839
BaseRepresentation
bin1101100110110…
…01100111011000
321221202210022001
412303121213120
5213204400220
615154210344
72554103365
oct663314730
9257683261
10114137560
1159478269
12322839b4
131a853724
141123146c
15a04880a
hex6cd99d8

114137560 has 64 divisors (see below), whose sum is σ = 272160000. Its totient is φ = 42959232.

The previous prime is 114137531. The next prime is 114137561. The reversal of 114137560 is 65731411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114137561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135621 + ... + 136459.

It is an arithmetic number, because the mean of its divisors is an integer number (4252500).

Almost surely, 2114137560 is an apocalyptic number.

114137560 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 114137560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080000).

114137560 is an abundant number, since it is smaller than the sum of its proper divisors (158022440).

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

114137560 is a wasteful number, since it uses less digits than its factorization.

114137560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 114137560 is about 10683.5181471274. The cubic root of 114137560 is about 485.0757100074.

Adding to 114137560 its reverse (65731411), we get a palindrome (179868971).

The spelling of 114137560 in words is "one hundred fourteen million, one hundred thirty-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 179 190 358 380 716 760 839 895 1432 1678 1790 3356 3401 3580 4195 6712 6802 7160 8390 13604 15941 16780 17005 27208 31882 33560 34010 63764 68020 79705 127528 136040 150181 159410 300362 318820 600724 637640 750905 1201448 1501810 2853439 3003620 5706878 6007240 11413756 14267195 22827512 28534390 57068780 114137560