Search a number
-
+
114362160 = 24351143319
BaseRepresentation
bin1101101000100…
…00011100110000
321222012012101120
412310100130300
5213234042120
615203102240
72556030243
oct664203460
9258165346
10114362160
1159610a90
1232371980
131a901a23
141128d25a
15a090140
hex6d10730

114362160 has 80 divisors (see below), whose sum is σ = 386760960. Its totient is φ = 27723520.

The previous prime is 114362117. The next prime is 114362177. The reversal of 114362160 is 61263411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114362160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19020 + ... + 24299.

It is an arithmetic number, because the mean of its divisors is an integer number (4834512).

Almost surely, 2114362160 is an apocalyptic number.

114362160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114362160 is an abundant number, since it is smaller than the sum of its proper divisors (272398800).

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

114362160 is a wasteful number, since it uses less digits than its factorization.

114362160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43346 (or 43340 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 114362160 is about 10694.0244996914. The cubic root of 114362160 is about 485.3936790144.

The spelling of 114362160 in words is "one hundred fourteen million, three hundred sixty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 43319 86638 129957 173276 216595 259914 346552 433190 476509 519828 649785 693104 866380 953018 1039656 1299570 1429527 1732760 1906036 2079312 2382545 2599140 2859054 3465520 3812072 4765090 5198280 5718108 7147635 7624144 9530180 10396560 11436216 14295270 19060360 22872432 28590540 38120720 57181080 114362160