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114089934 = 23722811381
BaseRepresentation
bin1101100110011…
…01111111001110
321221200100222010
412303031333032
5213201334214
615153202050
72553514500
oct663157716
9257610863
10114089934
1159445502
1232260326
131a837b4a
141121bd70
15a039659
hex6ccdfce

114089934 has 48 divisors (see below), whose sum is σ = 266571216. Its totient is φ = 32457600.

The previous prime is 114089923. The next prime is 114089939. The reversal of 114089934 is 439980411.

It is a junction number, because it is equal to n+sod(n) for n = 114089892 and 114089901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114089939) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81924 + ... + 83304.

It is an arithmetic number, because the mean of its divisors is an integer number (5553567).

Almost surely, 2114089934 is an apocalyptic number.

114089934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114089934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133285608).

114089934 is an abundant number, since it is smaller than the sum of its proper divisors (152481282).

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

114089934 is a wasteful number, since it uses less digits than its factorization.

114089934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 114089934 is about 10681.2889671612. The cubic root of 114089934 is about 485.0082316951.

The spelling of 114089934 in words is "one hundred fourteen million, eighty-nine thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 281 294 562 843 1381 1686 1967 2762 3934 4143 5901 8286 9667 11802 13769 19334 27538 29001 41307 58002 67669 82614 135338 203007 388061 406014 776122 1164183 2328366 2716427 5432854 8149281 16298562 19014989 38029978 57044967 114089934