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114064782 = 231379107173
BaseRepresentation
bin1101100110001…
…11110110001110
321221122002110120
412303013312032
5213200033112
615152445410
72553351246
oct663076616
9257562416
10114064782
1159428617
1232249866
131a829570
1411212b26
15a031e8c
hex6cc7d8e

114064782 has 64 divisors (see below), whose sum is σ = 252564480. Its totient is φ = 34130304.

The previous prime is 114064697. The next prime is 114064793. The reversal of 114064782 is 287460411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659248 + ... + 659420.

It is an arithmetic number, because the mean of its divisors is an integer number (3946320).

Almost surely, 2114064782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114064782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126282240).

114064782 is an abundant number, since it is smaller than the sum of its proper divisors (138499698).

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

114064782 is a wasteful number, since it uses less digits than its factorization.

114064782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 114064782 is about 10680.1115162717. Note that the first 3 decimals coincide. The cubic root of 114064782 is about 484.9725878155.

The spelling of 114064782 in words is "one hundred fourteen million, sixty-four thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 78 79 107 158 173 214 237 321 346 474 519 642 1027 1038 1391 2054 2249 2782 3081 4173 4498 6162 6747 8346 8453 13494 13667 16906 18511 25359 27334 37022 41001 50718 55533 82002 109889 111066 177671 219778 240643 329667 355342 481286 533013 659334 721929 1066026 1443858 1462369 2924738 4387107 8774214 19010797 38021594 57032391 114064782