[go: up one dir, main page]

Search a number
-
+
134114064 = 2437399149
BaseRepresentation
bin1111111111001…
…10101100010000
3100100100200220120
413333212230100
5233313122224
621150310240
73215644050
oct777465420
9310320816
10134114064
1169781977
1238ab8380
1321a29246
1413b51560
15bb92779
hex7fe6b10

134114064 has 40 divisors (see below), whose sum is σ = 395956800. Its totient is φ = 38318208.

The previous prime is 134114063. The next prime is 134114083. The reversal of 134114064 is 460411431.

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

It is not an unprimeable number, because it can be changed into a prime (134114063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199239 + ... + 199910.

It is an arithmetic number, because the mean of its divisors is an integer number (9898920).

Almost surely, 2134114064 is an apocalyptic number.

134114064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

134114064 is an abundant number, since it is smaller than the sum of its proper divisors (261842736).

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

134114064 is a wasteful number, since it uses less digits than its factorization.

134114064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399167 (or 399161 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 134114064 is about 11580.7626691855. The cubic root of 134114064 is about 511.8681504568.

Adding to 134114064 its reverse (460411431), we get a palindrome (594525495).

The spelling of 134114064 in words is "one hundred thirty-four million, one hundred fourteen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 399149 798298 1197447 1596596 2394894 2794043 3193192 4789788 5588086 6386384 8382129 9579576 11176172 16764258 19159152 22352344 33528516 44704688 67057032 134114064