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114064636 = 22723374787
BaseRepresentation
bin1101100110001…
…11110011111100
321221122002021011
412303013303330
5213200032021
615152445004
72553350650
oct663076374
9257562234
10114064636
11594284a4
1232249764
131a82948a
1411212a60
15a031de1
hex6cc7cfc

114064636 has 48 divisors (see below), whose sum is σ = 244532736. Its totient is φ = 45486144.

The previous prime is 114064633. The next prime is 114064637. The reversal of 114064636 is 636460411.

It is a junction number, because it is equal to n+sod(n) for n = 114064598 and 114064607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114064631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21435 + ... + 26221.

It is an arithmetic number, because the mean of its divisors is an integer number (5094432).

Almost surely, 2114064636 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 114064636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122266368).

114064636 is an abundant number, since it is smaller than the sum of its proper divisors (130468100).

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

114064636 is a wasteful number, since it uses less digits than its factorization.

114064636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4858 (or 4856 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 114064636 is about 10680.1046811349. The cubic root of 114064636 is about 484.9723808979.

The spelling of 114064636 in words is "one hundred fourteen million, sixty-four thousand, six hundred thirty-six".

Divisors: 1 2 4 7 14 23 28 37 46 74 92 148 161 259 322 518 644 851 1036 1702 3404 4787 5957 9574 11914 19148 23828 33509 67018 110101 134036 177119 220202 354238 440404 708476 770707 1239833 1541414 2479666 3082828 4073737 4959332 8147474 16294948 28516159 57032318 114064636