Search a number
-
+
114105360 = 24351727967
BaseRepresentation
bin1101100110100…
…01110000010000
321221201011010110
412303101300100
5213202332420
615153401320
72553610455
oct663216020
9257634113
10114105360
1159456056
1232269240
131a841b85
141122382c
15a03dee0
hex6cd1c10

114105360 has 80 divisors (see below), whose sum is σ = 374547456. Its totient is φ = 28637184.

The previous prime is 114105347. The next prime is 114105391. The reversal of 114105360 is 63501411.

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

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, 9904 + ... + 18063.

Almost surely, 2114105360 is an apocalyptic number.

114105360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114105360 is an abundant number, since it is smaller than the sum of its proper divisors (260442096).

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

114105360 is a wasteful number, since it uses less digits than its factorization.

114105360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28000 (or 27994 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 114105360 is about 10682.0110466148. The cubic root of 114105360 is about 485.0300898893.

Adding to 114105360 its reverse (63501411), we get a palindrome (177606771).

The spelling of 114105360 in words is "one hundred fourteen million, one hundred five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 27967 55934 83901 111868 139835 167802 223736 279670 335604 419505 447472 475439 559340 671208 839010 950878 1118680 1342416 1426317 1678020 1901756 2237360 2377195 2852634 3356040 3803512 4754390 5705268 6712080 7131585 7607024 9508780 11410536 14263170 19017560 22821072 28526340 38035120 57052680 114105360