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114015104 = 277127249
BaseRepresentation
bin1101100101110…
…11101110000000
321221112120022122
412302323232000
5213141440404
615151423412
72553053360
oct662735600
9257476278
10114015104
11593a4265
1232224b68
131a80ca78
14111dc9a0
15a0223be
hex6cbbb80

114015104 has 32 divisors (see below), whose sum is σ = 259590000. Its totient is φ = 48863232.

The previous prime is 114015103. The next prime is 114015113. The reversal of 114015104 is 401510411.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114015103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62729 + ... + 64520.

Almost surely, 2114015104 is an apocalyptic number.

114015104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114015104 is an abundant number, since it is smaller than the sum of its proper divisors (145574896).

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

114015104 is an equidigital number, since it uses as much as digits as its factorization.

114015104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127270 (or 127258 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 114015104 is about 10677.7855382097. The cubic root of 114015104 is about 484.9021717874.

Adding to 114015104 its reverse (401510411), we get a palindrome (515525515).

It can be divided in two parts, 11 and 4015104, that multiplied together give a palindrome (44166144).

The spelling of 114015104 in words is "one hundred fourteen million, fifteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 127249 254498 508996 890743 1017992 1781486 2035984 3562972 4071968 7125944 8143936 14251888 16287872 28503776 57007552 114015104