Search a number
-
+
114354252 = 223223167827
BaseRepresentation
bin1101101000011…
…10100001001100
321222011210112200
412310032201030
5213233314002
615203001500
72555665215
oct664164114
9258153480
10114354252
1159606051
1232369290
131a8cb24c
141128a40c
15a08cb1c
hex6d0e84c

114354252 has 72 divisors (see below), whose sum is σ = 303803136. Its totient is φ = 36198624.

The previous prime is 114354239. The next prime is 114354269. The reversal of 114354252 is 252453411.

114354252 is a `hidden beast` number, since 114 + 3 + 542 + 5 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137863 + ... + 138689.

It is an arithmetic number, because the mean of its divisors is an integer number (4219488).

Almost surely, 2114354252 is an apocalyptic number.

114354252 is a gapful number since it is divisible by the number (12) 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 114354252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151901568).

114354252 is an abundant number, since it is smaller than the sum of its proper divisors (189448884).

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

114354252 is a wasteful number, since it uses less digits than its factorization.

114354252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1022 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 114354252 is about 10693.6547541054. The cubic root of 114354252 is about 485.3824906350.

The spelling of 114354252 in words is "one hundred fourteen million, three hundred fifty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 167 207 276 334 414 501 668 827 828 1002 1503 1654 2004 2481 3006 3308 3841 4962 6012 7443 7682 9924 11523 14886 15364 19021 23046 29772 34569 38042 46092 57063 69138 76084 114126 138109 138276 171189 228252 276218 342378 414327 552436 684756 828654 1242981 1657308 2485962 3176507 4971924 6353014 9529521 12706028 19059042 28588563 38118084 57177126 114354252