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114194720 = 255838599
BaseRepresentation
bin1101100111001…
…11100100100000
321221212200201002
412303213210200
5213213212340
615155331132
72554432133
oct663474440
9257780632
10114194720
1159507202
12322b0aa8
131a873753
141124821a
15a05a715
hex6ce7920

114194720 has 48 divisors (see below), whose sum is σ = 273067200. Its totient is φ = 45122304.

The previous prime is 114194711. The next prime is 114194753. The reversal of 114194720 is 27491411.

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 7 ways as a sum of consecutive naturals, for example, 8981 + ... + 17579.

It is an arithmetic number, because the mean of its divisors is an integer number (5688900).

Almost surely, 2114194720 is an apocalyptic number.

114194720 is a gapful number since it is divisible by the number (10) 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 114194720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136533600).

114194720 is an abundant number, since it is smaller than the sum of its proper divisors (158872480).

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

114194720 is an equidigital number, since it uses as much as digits as its factorization.

114194720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8697 (or 8689 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 114194720 is about 10686.1929610128. The cubic root of 114194720 is about 485.1566716714.

The spelling of 114194720 in words is "one hundred fourteen million, one hundred ninety-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 2656 3320 6640 8599 13280 17198 34396 42995 68792 85990 137584 171980 275168 343960 687920 713717 1375840 1427434 2854868 3568585 5709736 7137170 11419472 14274340 22838944 28548680 57097360 114194720