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114456030 = 23513319467
BaseRepresentation
bin1101101001001…
…11010111011110
321222100222011020
412310213113132
5213300043110
615205105010
72556601023
oct664472736
9258328136
10114456030
1159675567
12323b8166
131a935680
14112b554a
15a0acd70
hex6d275de

114456030 has 64 divisors (see below), whose sum is σ = 305399808. Its totient is φ = 27262080.

The previous prime is 114455993. The next prime is 114456079. The reversal of 114456030 is 30654411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7357 + ... + 16823.

It is an arithmetic number, because the mean of its divisors is an integer number (4771872).

Almost surely, 2114456030 is an apocalyptic number.

114456030 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 114456030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152699904).

114456030 is an abundant number, since it is smaller than the sum of its proper divisors (190943778).

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

114456030 is a wasteful number, since it uses less digits than its factorization.

114456030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9521.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 114456030 is about 10698.4124990580. The cubic root of 114456030 is about 485.5264485827.

The spelling of 114456030 in words is "one hundred fourteen million, four hundred fifty-six thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 806 930 1209 2015 2418 4030 6045 9467 12090 18934 28401 47335 56802 94670 123071 142005 246142 284010 293477 369213 586954 615355 738426 880431 1230710 1467385 1760862 1846065 2934770 3692130 3815201 4402155 7630402 8804310 11445603 19076005 22891206 38152010 57228015 114456030