Search a number
-
+
114134440 = 2357537691
BaseRepresentation
bin1101100110110…
…00110110101000
321221202122000111
412303120312220
5213204300230
615154144104
72554061320
oct663306650
9257678014
10114134440
1159475992
1232282034
131a852194
1411230280
15a04792a
hex6cd8da8

114134440 has 64 divisors (see below), whose sum is σ = 299064960. Its totient is φ = 38388480.

The previous prime is 114134411. The next prime is 114134473. The reversal of 114134440 is 44431411.

It is a super-2 number, since 2×1141344402 = 26053340788227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10995 + ... + 18685.

It is an arithmetic number, because the mean of its divisors is an integer number (4672890).

Almost surely, 2114134440 is an apocalyptic number.

114134440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149532480).

114134440 is an abundant number, since it is smaller than the sum of its proper divisors (184930520).

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

114134440 is a wasteful number, since it uses less digits than its factorization.

114134440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7762 (or 7758 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 114134440 is about 10683.3721268146. The cubic root of 114134440 is about 485.0712900484.

Adding to 114134440 its reverse (44431411), we get a palindrome (158565851).

The spelling of 114134440 in words is "one hundred fourteen million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 7420 7691 14840 15382 30764 38455 53837 61528 76910 107674 153820 215348 269185 307640 407623 430696 538370 815246 1076740 1630492 2038115 2153480 2853361 3260984 4076230 5706722 8152460 11413444 14266805 16304920 22826888 28533610 57067220 114134440