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114387104 = 25131312099
BaseRepresentation
bin1101101000101…
…10100010100000
321222020110121102
412310112202200
5213240341404
615203413532
72556163046
oct664264240
9258213542
10114387104
11596287a7
12323842a8
131a9101a0
1411298396
15a09771e
hex6d168a0

114387104 has 48 divisors (see below), whose sum is σ = 244490400. Its totient is φ = 52366080.

The previous prime is 114387083. The next prime is 114387121. The reversal of 114387104 is 401783411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53447 + ... + 55545.

It is an arithmetic number, because the mean of its divisors is an integer number (5093550).

Almost surely, 2114387104 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 114387104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122245200).

114387104 is an abundant number, since it is smaller than the sum of its proper divisors (130103296).

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

114387104 is a wasteful number, since it uses less digits than its factorization.

114387104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 114387104 is about 10695.1906948871. The cubic root of 114387104 is about 485.4289668513.

The spelling of 114387104 in words is "one hundred fourteen million, three hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 131 208 262 416 524 1048 1703 2096 2099 3406 4192 4198 6812 8396 13624 16792 27248 27287 33584 54496 54574 67168 109148 218296 274969 436592 549938 873184 1099876 2199752 3574597 4399504 7149194 8799008 14298388 28596776 57193552 114387104