Search a number
-
+
114352950 = 23522812713
BaseRepresentation
bin1101101000011…
…10001100110110
321222011201202110
412310032030312
5213233243300
615202551450
72555661345
oct664161466
9258151673
10114352950
1159605078
1232368586
131a8ca78a
1411289b5c
15a08c550
hex6d0e336

114352950 has 48 divisors (see below), whose sum is σ = 284709456. Its totient is φ = 30374400.

The previous prime is 114352943. The next prime is 114352961. The reversal of 114352950 is 59253411.

114352950 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 40794 + ... + 43506.

It is an arithmetic number, because the mean of its divisors is an integer number (5931447).

Almost surely, 2114352950 is an apocalyptic number.

114352950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114352950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142354728).

114352950 is an abundant number, since it is smaller than the sum of its proper divisors (170356506).

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

114352950 is a wasteful number, since it uses less digits than its factorization.

114352950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 114352950 is about 10693.5938767096. The cubic root of 114352950 is about 485.3806484928.

The spelling of 114352950 in words is "one hundred fourteen million, three hundred fifty-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 281 562 843 1405 1686 2713 2810 4215 5426 7025 8139 8430 13565 14050 16278 21075 27130 40695 42150 67825 81390 135650 203475 406950 762353 1524706 2287059 3811765 4574118 7623530 11435295 19058825 22870590 38117650 57176475 114352950