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114035104 = 2523413779
BaseRepresentation
bin1101100110000…
…00100110100000
321221120120202101
412303000212200
5213143110404
615152100144
72553165601
oct663004640
9257516671
10114035104
1159408297
1232234654
131a818bc1
1411205da8
15a0282a4
hex6cc09a0

114035104 has 48 divisors (see below), whose sum is σ = 240045120. Its totient is φ = 53194240.

The previous prime is 114035069. The next prime is 114035123. The reversal of 114035104 is 401530411.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28287 + ... + 32065.

It is an arithmetic number, because the mean of its divisors is an integer number (5000940).

Almost surely, 2114035104 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 114035104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120022560).

114035104 is an abundant number, since it is smaller than the sum of its proper divisors (126010016).

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

114035104 is a wasteful number, since it uses less digits than its factorization.

114035104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 114035104 is about 10678.7220209162. The cubic root of 114035104 is about 484.9305232253.

Adding to 114035104 its reverse (401530411), we get a palindrome (515565515).

The spelling of 114035104 in words is "one hundred fourteen million, thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 41 46 82 92 164 184 328 368 656 736 943 1312 1886 3772 3779 7544 7558 15088 15116 30176 30232 60464 86917 120928 154939 173834 309878 347668 619756 695336 1239512 1390672 2479024 2781344 3563597 4958048 7127194 14254388 28508776 57017552 114035104