Search a number
-
+
14137088 = 287423
BaseRepresentation
bin110101111011…
…011100000000
3222121020102212
4311323130000
512104341323
61223001252
7231110000
oct65733400
928536385
1014137088
117a86449
124899228
132c0c954
141c40000
151393b78
hexd7b700

14137088 has 90 divisors (see below), whose sum is σ = 34351464. Its totient is φ = 5795328.

The previous prime is 14137063. The next prime is 14137103. The reversal of 14137088 is 88073141.

14137088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 614645 + ... + 614667.

Almost surely, 214137088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14137088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17175732).

14137088 is an abundant number, since it is smaller than the sum of its proper divisors (20214376).

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

14137088 is an frugal number, since it uses more digits than its factorization.

14137088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 14137088 is about 3759.9319142772. The cubic root of 14137088 is about 241.7983430380.

The spelling of 14137088 in words is "fourteen million, one hundred thirty-seven thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 112 128 161 184 196 224 256 322 343 368 392 448 644 686 736 784 896 1127 1288 1372 1472 1568 1792 2254 2401 2576 2744 2944 3136 4508 4802 5152 5488 5888 6272 7889 9016 9604 10304 10976 12544 15778 18032 19208 20608 21952 31556 36064 38416 41216 43904 55223 63112 72128 76832 87808 110446 126224 144256 153664 220892 252448 288512 307328 441784 504896 614656 883568 1009792 1767136 2019584 3534272 7068544 14137088