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114907164 = 22329615413
BaseRepresentation
bin1101101100101…
…01100000011100
322000012212222220
412312111200130
5213404012124
615222505340
72563460211
oct666254034
9260185886
10114907164
11599534a9
1232595250
131aa62b08
1411391b08
15a14b879
hex6d9581c

114907164 has 48 divisors (see below), whose sum is σ = 281961120. Its totient is φ = 36368640.

The previous prime is 114907157. The next prime is 114907207. The reversal of 114907164 is 461709411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18522 + ... + 23934.

It is an arithmetic number, because the mean of its divisors is an integer number (5874190).

Almost surely, 2114907164 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 114907164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140980560).

114907164 is an abundant number, since it is smaller than the sum of its proper divisors (167053956).

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

114907164 is a wasteful number, since it uses less digits than its factorization.

114907164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 114907164 is about 10719.4759200252. The cubic root of 114907164 is about 486.1635209882.

The spelling of 114907164 in words is "one hundred fourteen million, nine hundred seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 58 61 87 116 122 174 183 244 348 366 732 1769 3538 5307 5413 7076 10614 10826 16239 21228 21652 32478 64956 156977 313954 330193 470931 627908 660386 941862 990579 1320772 1883724 1981158 3962316 9575597 19151194 28726791 38302388 57453582 114907164