Search a number
-
+
14999292 = 22327211773
BaseRepresentation
bin111001001101…
…111011111100
31001020001011100
4321031323330
512314434132
61253253100
7241330500
oct71157374
931201140
1014999292
118515210
125034190
133152229
141dc6300
1514b437c
hexe4defc

14999292 has 108 divisors (see below), whose sum is σ = 48176856. Its totient is φ = 3890880.

The previous prime is 14999279. The next prime is 14999311. The reversal of 14999292 is 29299941.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19018 + ... + 19790.

It is an arithmetic number, because the mean of its divisors is an integer number (446082).

Almost surely, 214999292 is an apocalyptic number.

14999292 is a gapful number since it is divisible by the number (12) 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 14999292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24088428).

14999292 is an abundant number, since it is smaller than the sum of its proper divisors (33177564).

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

14999292 is a wasteful number, since it uses less digits than its factorization.

14999292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 796 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 14999292 is about 3872.8919427219. The cubic root of 14999292 is about 246.6173271983.

The spelling of 14999292 in words is "fourteen million, nine hundred ninety-nine thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 773 882 924 1078 1386 1546 1617 1764 2156 2319 2772 3092 3234 4638 4851 5411 6468 6957 8503 9276 9702 10822 13914 16233 17006 19404 21644 25509 27828 32466 34012 37877 48699 51018 59521 64932 75754 76527 97398 102036 113631 119042 151508 153054 178563 194796 227262 238084 306108 340893 357126 416647 454524 535689 681786 714252 833294 1071378 1249941 1363572 1666588 2142756 2499882 3749823 4999764 7499646 14999292