Search a number
-
+
114207408 = 2434712589
BaseRepresentation
bin1101100111010…
…10101010110000
321221220100010000
412303222222300
5213214114113
615155510000
72554514130
oct663525260
9257810100
10114207408
1159515797
12322b8300
131a879463
141124cac0
15a05e373
hex6ceaab0

114207408 has 100 divisors (see below), whose sum is σ = 377800720. Its totient is φ = 32628096.

The previous prime is 114207407. The next prime is 114207449. The reversal of 114207408 is 804702411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114207403) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2778 + ... + 15366.

Almost surely, 2114207408 is an apocalyptic number.

114207408 is a gapful number since it is divisible by the number (18) 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 114207408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188900360).

114207408 is an abundant number, since it is smaller than the sum of its proper divisors (263593312).

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

114207408 is a wasteful number, since it uses less digits than its factorization.

114207408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12616 (or 12601 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 114207408 is about 10686.7866077694. The cubic root of 114207408 is about 485.1746393436.

Adding to 114207408 its reverse (804702411), we get a palindrome (918909819).

The spelling of 114207408 in words is "one hundred fourteen million, two hundred seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 12589 25178 37767 50356 75534 88123 100712 113301 151068 176246 201424 226602 264369 302136 339903 352492 453204 528738 604272 679806 704984 793107 906408 1019709 1057476 1359612 1409968 1586214 1812816 2039418 2114952 2379321 2719224 3172428 4078836 4229904 4758642 5438448 6344856 7137963 8157672 9517284 12689712 14275926 16315344 19034568 28551852 38069136 57103704 114207408