Search a number
-
+
14749614 = 235113189
BaseRepresentation
bin111000010000…
…111110101110
31000202100200000
4320100332232
512233441424
61244045130
7236240535
oct70207656
930670600
1014749614
118364670
124b337a6
1330956a9
141d5d31c
1514653c9
hexe10fae

14749614 has 96 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 4276800.

The previous prime is 14749597. The next prime is 14749619. The reversal of 14749614 is 41694741.

It is a super-2 number, since 2×147496142 = 435102226297992, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14749619) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 165682 + ... + 165770.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 214749614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14749614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

14749614 is an abundant number, since it is smaller than the sum of its proper divisors (22989906).

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

14749614 is a wasteful number, since it uses less digits than its factorization.

14749614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 14749614 is about 3840.5226206859. The cubic root of 14749614 is about 245.2412672591.

The spelling of 14749614 in words is "fourteen million, seven hundred forty-nine thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 89 93 99 162 178 186 198 243 267 279 297 341 486 534 558 594 682 801 837 891 979 1023 1602 1674 1782 1958 2046 2403 2511 2673 2759 2937 3069 4806 5022 5346 5518 5874 6138 7209 7533 8277 8811 9207 14418 15066 16554 17622 18414 21627 24831 26433 27621 30349 43254 49662 52866 55242 60698 74493 79299 82863 91047 148986 158598 165726 182094 223479 237897 273141 446958 475794 546282 670437 819423 1340874 1638846 2458269 4916538 7374807 14749614