Search a number
-
+
114959385 = 3355316067
BaseRepresentation
bin1101101101000…
…10010000011001
322000022112122000
412312202100121
5213412200020
615223551213
72564065362
oct666422031
9260275560
10114959385
1159989762
12325bb509
131aa80808
14113a6b69
15a15c090
hex6da2419

114959385 has 32 divisors (see below), whose sum is σ = 208241280. Its totient is φ = 60151104.

The previous prime is 114959381. The next prime is 114959419. The reversal of 114959385 is 583959411.

114959385 is a `hidden beast` number, since 11 + 49 + 593 + 8 + 5 = 666.

It is not a de Polignac number, because 114959385 - 22 = 114959381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 114959385.

It is not an unprimeable number, because it can be changed into a prime (114959381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879 + ... + 15188.

It is an arithmetic number, because the mean of its divisors is an integer number (6507540).

Almost surely, 2114959385 is an apocalyptic number.

114959385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114959385 is a deficient number, since it is larger than the sum of its proper divisors (93281895).

114959385 is a wasteful number, since it uses less digits than its factorization.

114959385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16134 (or 16128 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 114959385 is about 10721.9114433948. The cubic root of 114959385 is about 486.2371575349.

The spelling of 114959385 in words is "one hundred fourteen million, nine hundred fifty-nine thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 53 135 159 265 477 795 1431 2385 7155 16067 48201 80335 144603 241005 433809 723015 851551 2169045 2554653 4257755 7663959 12773265 22991877 38319795 114959385