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114984192 = 283178807
BaseRepresentation
bin1101101101010…
…00010100000000
322000100210122210
412312220110000
5213413443232
615224302120
72564230611
oct666502400
9260323583
10114984192
11599a6364
1232611940
131aa8bbab
14113b1c08
15a1645cc
hex6da8500

114984192 has 72 divisors (see below), whose sum is σ = 324063936. Its totient is φ = 36069376.

The previous prime is 114984187. The next prime is 114984203. The reversal of 114984192 is 291489411.

It is a self number, because there is not a number n which added to its sum of digits gives 114984192.

It is a congruent number.

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, 8653 + ... + 17459.

It is an arithmetic number, because the mean of its divisors is an integer number (4500888).

Almost surely, 2114984192 is an apocalyptic number.

114984192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114984192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162031968).

114984192 is an abundant number, since it is smaller than the sum of its proper divisors (209079744).

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

114984192 is an equidigital number, since it uses as much as digits as its factorization.

114984192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8843 (or 8829 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 114984192 is about 10723.0682176325. The cubic root of 114984192 is about 486.2721299374.

The spelling of 114984192 in words is "one hundred fourteen million, nine hundred eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 8807 13056 17614 26421 35228 52842 70456 105684 140912 149719 211368 281824 299438 422736 449157 563648 598876 845472 898314 1127296 1197752 1690944 1796628 2254592 2395504 3381888 3593256 4791008 6763776 7186512 9582016 14373024 19164032 28746048 38328064 57492096 114984192