Search a number
-
+
114835408 = 24173113619
BaseRepresentation
bin1101101100000…
…11111111010000
322000002020120021
412312003333100
5213344213113
615221153224
72563041052
oct666037720
9260066507
10114835408
11599045a6
123255b814
131aa3925c
14113738d2
15a13548d
hex6d83fd0

114835408 has 40 divisors (see below), whose sum is σ = 243198720. Its totient is φ = 52293120.

The previous prime is 114835381. The next prime is 114835453. The reversal of 114835408 is 804538411.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1623 + ... + 15241.

It is an arithmetic number, because the mean of its divisors is an integer number (6079968).

Almost surely, 2114835408 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 114835408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121599360).

114835408 is an abundant number, since it is smaller than the sum of its proper divisors (128363312).

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

114835408 is a wasteful number, since it uses less digits than its factorization.

114835408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13675 (or 13669 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 114835408 is about 10716.1284053524. The cubic root of 114835408 is about 486.0623018461.

The spelling of 114835408 in words is "one hundred fourteen million, eight hundred thirty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 2108 4216 8432 13619 27238 54476 108952 217904 231523 422189 463046 844378 926092 1688756 1852184 3377512 3704368 6755024 7177213 14354426 28708852 57417704 114835408