Search a number
-
+
114825144 = 2337683483
BaseRepresentation
bin1101101100000…
…01011110111000
322000001201111010
412312001132320
5213343401034
615221033520
72562666120
oct666013670
9260051433
10114825144
11598a7915
12325558a0
131aa34695
141136dc80
15a1323e9
hex6d817b8

114825144 has 32 divisors (see below), whose sum is σ = 328072320. Its totient is φ = 32807136.

The previous prime is 114825127. The next prime is 114825149. The reversal of 114825144 is 441528411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114825149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341574 + ... + 341909.

It is an arithmetic number, because the mean of its divisors is an integer number (10252260).

Almost surely, 2114825144 is an apocalyptic number.

114825144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114825144 is an abundant number, since it is smaller than the sum of its proper divisors (213247176).

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

114825144 is a wasteful number, since it uses less digits than its factorization.

114825144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683499 (or 683495 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 114825144 is about 10715.6494903482. The cubic root of 114825144 is about 486.0478199826.

The spelling of 114825144 in words is "one hundred fourteen million, eight hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 683483 1366966 2050449 2733932 4100898 4784381 5467864 8201796 9568762 14353143 16403592 19137524 28706286 38275048 57412572 114825144