Search a number
-
+
114367365 = 32571997197
BaseRepresentation
bin1101101000100…
…01101110000101
321222012110112100
412310101232011
5213234223430
615203142313
72556051360
oct664215605
9258173470
10114367365
1159614992
1232374999
131a9041c8
14112910d7
15a091960
hex6d11b85

114367365 has 96 divisors (see below), whose sum is σ = 242161920. Its totient is φ = 48771072.

The previous prime is 114367343. The next prime is 114367399. The reversal of 114367365 is 563763411.

It is not a de Polignac number, because 114367365 - 26 = 114367301 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 580447 + ... + 580643.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2114367365 is an apocalyptic number.

114367365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114367365 is an abundant number, since it is smaller than the sum of its proper divisors (127794555).

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

114367365 is a wasteful number, since it uses less digits than its factorization.

114367365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 328 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 114367365 is about 10694.2678571279. The cubic root of 114367365 is about 485.4010428597.

The spelling of 114367365 in words is "one hundred fourteen million, three hundred sixty-seven thousand, three hundred sixty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 97 105 133 171 197 285 291 315 399 485 591 665 679 855 873 985 1197 1379 1455 1773 1843 1995 2037 2955 3395 3743 4137 4365 5529 5985 6111 6895 8865 9215 10185 11229 12411 12901 16587 18715 19109 20685 26201 27645 30555 33687 38703 56145 57327 62055 64505 78603 82935 95545 116109 131005 133763 168435 171981 193515 235809 286635 363071 393015 401289 580545 668815 859905 1089213 1179045 1203867 1815355 2006445 2541497 3267639 5446065 6019335 7624491 12707485 16338195 22873473 38122455 114367365