Search a number
-
+
14733120 = 2635103149
BaseRepresentation
bin111000001100…
…111101000000
31000201112001010
4320030331000
512232424440
61243440520
7236141463
oct70147500
930645033
1014733120
118353236
124b26140
13308b02c
141d572da
151460580
hexe0cf40

14733120 has 112 divisors (see below), whose sum is σ = 47548800. Its totient is φ = 3864576.

The previous prime is 14733119. The next prime is 14733157. The reversal of 14733120 is 2133741.

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, 98806 + ... + 98954.

Almost surely, 214733120 is an apocalyptic number.

14733120 is a gapful number since it is divisible by the number (10) 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 14733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23774400).

14733120 is an abundant number, since it is smaller than the sum of its proper divisors (32815680).

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

14733120 is a wasteful number, since it uses less digits than its factorization.

14733120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 14733120 is about 3838.3746560230. The cubic root of 14733120 is about 245.1498181270.

Adding to 14733120 its reverse (2133741), we get a palindrome (16866861).

The spelling of 14733120 in words is "fourteen million, seven hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 120 149 160 192 206 240 298 309 320 412 447 480 515 596 618 745 824 894 960 1030 1192 1236 1490 1545 1648 1788 2060 2235 2384 2472 2980 3090 3296 3576 4120 4470 4768 4944 5960 6180 6592 7152 8240 8940 9536 9888 11920 12360 14304 15347 16480 17880 19776 23840 24720 28608 30694 32960 35760 46041 47680 49440 61388 71520 76735 92082 98880 122776 143040 153470 184164 230205 245552 306940 368328 460410 491104 613880 736656 920820 982208 1227760 1473312 1841640 2455520 2946624 3683280 4911040 7366560 14733120