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114504516 = 2235716829
BaseRepresentation
bin1101101001100…
…11001101000100
321222110102200000
412310303031010
5213303121031
615210121300
72560162260
oct664631504
9258412600
10114504516
11596a8a35
1232420230
131a951769
14112c90a0
15a0bc3e6
hex6d33344

114504516 has 72 divisors (see below), whose sum is σ = 343062720. Its totient is φ = 32713632.

The previous prime is 114504493. The next prime is 114504547. The reversal of 114504516 is 615405411.

114504516 is a `hidden beast` number, since 1 + 145 + 0 + 4 + 516 = 666.

It is a super-2 number, since 2×1145045162 = 26222568368788512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 114504516.

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 23 ways as a sum of consecutive naturals, for example, 1611 + ... + 15218.

It is an arithmetic number, because the mean of its divisors is an integer number (4764760).

Almost surely, 2114504516 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 114504516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171531360).

114504516 is an abundant number, since it is smaller than the sum of its proper divisors (228558204).

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

114504516 is a wasteful number, since it uses less digits than its factorization.

114504516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16855 (or 16841 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 114504516 is about 10700.6782962577. The cubic root of 114504516 is about 485.5949986683.

Adding to 114504516 its reverse (615405411), we get a palindrome (729909927).

The spelling of 114504516 in words is "one hundred fourteen million, five hundred four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 16829 33658 50487 67316 100974 117803 151461 201948 235606 302922 353409 454383 471212 605844 706818 908766 1060227 1363149 1413636 1817532 2120454 2726298 3180681 4089447 4240908 5452596 6361362 8178894 9542043 12722724 16357788 19084086 28626129 38168172 57252258 114504516