Search a number
-
+
114807840 = 2535747727
BaseRepresentation
bin1101101011111…
…01010000100000
322000000211202020
412311331100200
5213342322330
615220421440
72562564510
oct665752040
9260024666
10114807840
1159895914
1232547880
131aa29844
1411367840
15a12c210
hex6d7d420

114807840 has 192 divisors, whose sum is σ = 422682624. Its totient is φ = 25648128.

The previous prime is 114807809. The next prime is 114807859. The reversal of 114807840 is 48708411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157557 + ... + 158283.

It is an arithmetic number, because the mean of its divisors is an integer number (2201472).

Almost surely, 2114807840 is an apocalyptic number.

114807840 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 114807840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211341312).

114807840 is an abundant number, since it is smaller than the sum of its proper divisors (307874784).

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

114807840 is a wasteful number, since it uses less digits than its factorization.

114807840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 114807840 is about 10714.8420426995. The cubic root of 114807840 is about 486.0234031644.

The spelling of 114807840 in words is "one hundred fourteen million, eight hundred seven thousand, eight hundred forty".