Search a number
-
+
13554432 = 28333753
BaseRepresentation
bin110011101101…
…001100000000
3221111122012000
4303231030000
511432220212
61202304000
7223132203
oct63551400
927448160
1013554432
117718711
124658000
132a67698
141b2b93a
1512cb1dc
hexced300

13554432 has 144 divisors (see below), whose sum is σ = 41942880. Its totient is φ = 4313088.

The previous prime is 13554427. The next prime is 13554451. The reversal of 13554432 is 23445531.

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 junction number, because it is equal to n+sod(n) for n = 13554396 and 13554405.

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, 255718 + ... + 255770.

It is an arithmetic number, because the mean of its divisors is an integer number (291270).

Almost surely, 213554432 is an apocalyptic number.

13554432 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 13554432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20971440).

13554432 is an abundant number, since it is smaller than the sum of its proper divisors (28388448).

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

13554432 is an equidigital number, since it uses as much as digits as its factorization.

13554432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 13554432 is about 3681.6344196566. The cubic root of 13554432 is about 238.4297487012.

Adding to 13554432 its reverse (23445531), we get a palindrome (36999963).

The spelling of 13554432 in words is "thirteen million, five hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 53 54 64 72 74 96 106 108 111 128 144 148 159 192 212 216 222 256 288 296 318 333 384 424 432 444 477 576 592 636 666 768 848 864 888 954 999 1152 1184 1272 1332 1431 1696 1728 1776 1908 1961 1998 2304 2368 2544 2664 2862 3392 3456 3552 3816 3922 3996 4736 5088 5328 5724 5883 6784 6912 7104 7632 7844 7992 9472 10176 10656 11448 11766 13568 14208 15264 15688 15984 17649 20352 21312 22896 23532 28416 30528 31376 31968 35298 40704 42624 45792 47064 52947 61056 62752 63936 70596 85248 91584 94128 105894 122112 125504 127872 141192 183168 188256 211788 251008 255744 282384 366336 376512 423576 502016 564768 753024 847152 1129536 1506048 1694304 2259072 3388608 4518144 6777216 13554432