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114452010 = 23251966931
BaseRepresentation
bin1101101001001…
…10011000101010
321222100202122100
412310212120222
5213244431020
615205034230
72556553221
oct664463052
9258322570
10114452010
1159672542
12323b5976
131a9338aa
14112b3cb8
15a0aba90
hex6d2662a

114452010 has 48 divisors (see below), whose sum is σ = 313241760. Its totient is φ = 28913760.

The previous prime is 114451999. The next prime is 114452017. The reversal of 114452010 is 10254411.

114452010 is a `hidden beast` number, since 1 + 144 + 520 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114452017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31756 + ... + 35175.

It is an arithmetic number, because the mean of its divisors is an integer number (6525870).

Almost surely, 2114452010 is an apocalyptic number.

114452010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114452010 is an abundant number, since it is smaller than the sum of its proper divisors (198789750).

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

114452010 is a wasteful number, since it uses less digits than its factorization.

114452010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66963 (or 66960 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 114452010 is about 10698.2246190665. The cubic root of 114452010 is about 485.5207641897.

The spelling of 114452010 in words is "one hundred fourteen million, four hundred fifty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 66931 133862 200793 334655 401586 602379 669310 1003965 1204758 1271689 2007930 2543378 3011895 3815067 6023790 6358445 7630134 11445201 12716890 19075335 22890402 38150670 57226005 114452010