Search a number
-
+
14976104 = 23111321953
BaseRepresentation
bin111001001000…
…010001101000
31001011212100112
4321020101220
512313213404
61252553452
7241203053
oct71102150
931155315
1014976104
1184a9850
125022888
133144800
141dbba9a
1514ac56e
hexe48468

14976104 has 96 divisors (see below), whose sum is σ = 35575200. Its totient is φ = 5840640.

The previous prime is 14976103. The next prime is 14976107. The reversal of 14976104 is 40167941.

It is not an unprimeable number, because it can be changed into a prime (14976103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282542 + ... + 282594.

It is an arithmetic number, because the mean of its divisors is an integer number (370575).

Almost surely, 214976104 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 14976104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17787600).

14976104 is an abundant number, since it is smaller than the sum of its proper divisors (20599096).

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

14976104 is a wasteful number, since it uses less digits than its factorization.

14976104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 14976104 is about 3869.8971562562. The cubic root of 14976104 is about 246.4901764864.

It can be divided in two parts, 14976 and 104, that multiplied together give a square (1557504 = 12482).

The spelling of 14976104 in words is "fourteen million, nine hundred seventy-six thousand, one hundred four".

Divisors: 1 2 4 8 11 13 19 22 26 38 44 52 53 76 88 104 106 143 152 169 209 212 247 286 338 418 424 494 572 583 676 689 836 988 1007 1144 1166 1352 1378 1672 1859 1976 2014 2332 2717 2756 3211 3718 4028 4664 5434 5512 6422 7436 7579 8056 8957 10868 11077 12844 13091 14872 15158 17914 21736 22154 25688 26182 30316 35321 35828 44308 52364 60632 70642 71656 88616 98527 104728 141284 144001 170183 197054 282568 288002 340366 394108 576004 680732 788216 1152008 1361464 1872013 3744026 7488052 14976104