Search a number
-
+
114252152 = 2373767823
BaseRepresentation
bin1101100111101…
…01100101111000
321221222121111012
412303311211320
5213222032102
615200453052
72555061440
oct663654570
9257877435
10114252152
1159546373
123231a188
131a893931
1411261120
15a06c752
hex6cf5978

114252152 has 64 divisors (see below), whose sum is σ = 255505920. Its totient is φ = 46873728.

The previous prime is 114252137. The next prime is 114252169. The reversal of 114252152 is 251252411.

It is a super-2 number, since 2×1142521522 = 26107108473262208, 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 15 ways as a sum of consecutive naturals, for example, 138413 + ... + 139235.

It is an arithmetic number, because the mean of its divisors is an integer number (3992280).

Almost surely, 2114252152 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 114252152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127752960).

114252152 is an abundant number, since it is smaller than the sum of its proper divisors (141253768).

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

114252152 is a wasteful number, since it uses less digits than its factorization.

114252152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 936 counting only the distinct ones).

The product of its digits is 800, while the sum is 23.

The square root of 114252152 is about 10688.8798290560. The cubic root of 114252152 is about 485.2379913919.

The spelling of 114252152 in words is "one hundred fourteen million, two hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 37 56 67 74 134 148 259 268 296 469 518 536 823 938 1036 1646 1876 2072 2479 3292 3752 4958 5761 6584 9916 11522 17353 19832 23044 30451 34706 46088 55141 60902 69412 110282 121804 138824 213157 220564 243608 385987 426314 441128 771974 852628 1543948 1705256 2040217 3087896 4080434 8160868 14281519 16321736 28563038 57126076 114252152