Search a number
-
+
14923008 = 283317127
BaseRepresentation
bin111000111011…
…010100000000
31001002011112000
4320323110000
512310014013
61251504000
7240562212
oct70732400
931064460
1014923008
118472971
124bb8000
1331265a9
141da65b2
15149b973
hexe3b500

14923008 has 144 divisors (see below), whose sum is σ = 47093760. Its totient is φ = 4644864.

The previous prime is 14922989. The next prime is 14923019. The reversal of 14923008 is 80032941.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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, 117441 + ... + 117567.

It is an arithmetic number, because the mean of its divisors is an integer number (327040).

Almost surely, 214923008 is an apocalyptic number.

14923008 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 14923008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23546880).

14923008 is an abundant number, since it is smaller than the sum of its proper divisors (32170752).

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

14923008 is a wasteful number, since it uses less digits than its factorization.

14923008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14923008 is about 3863.0309343830. The cubic root of 14923008 is about 246.1985309903.

Adding to 14923008 its reverse (80032941), we get a palindrome (94955949).

The spelling of 14923008 in words is "fourteen million, nine hundred twenty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 127 128 136 144 153 192 204 216 254 256 272 288 306 381 384 408 432 459 508 544 576 612 762 768 816 864 918 1016 1088 1143 1152 1224 1524 1632 1728 1836 2032 2159 2176 2286 2304 2448 3048 3264 3429 3456 3672 4064 4318 4352 4572 4896 6096 6477 6528 6858 6912 7344 8128 8636 9144 9792 12192 12954 13056 13716 14688 16256 17272 18288 19431 19584 24384 25908 27432 29376 32512 34544 36576 38862 39168 48768 51816 54864 58293 58752 69088 73152 77724 97536 103632 109728 116586 117504 138176 146304 155448 207264 219456 233172 276352 292608 310896 414528 438912 466344 552704 621792 829056 877824 932688 1243584 1658112 1865376 2487168 3730752 4974336 7461504 14923008