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20131452 = 223211291753
BaseRepresentation
bin100110011001…
…0111001111100
31101212210011100
41030302321330
520123201302
61555253100
7333054165
oct114627174
941783140
1020131452
1110400070
1268aa190
13422b203
14296076c
151b79d1c
hex1332e7c

20131452 has 72 divisors (see below), whose sum is σ = 57461040. Its totient is φ = 5886720.

The previous prime is 20131427. The next prime is 20131487. The reversal of 20131452 is 25413102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10608 + ... + 12360.

It is an arithmetic number, because the mean of its divisors is an integer number (798070).

Almost surely, 220131452 is an apocalyptic number.

20131452 is a gapful number since it is divisible by the number (22) 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 20131452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28730520).

20131452 is an abundant number, since it is smaller than the sum of its proper divisors (37329588).

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

20131452 is a wasteful number, since it uses less digits than its factorization.

20131452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20131452 is about 4486.8086654102. The cubic root of 20131452 is about 272.0351562113.

Adding to 20131452 its reverse (25413102), we get a palindrome (45544554).

The spelling of 20131452 in words is "twenty million, one hundred thirty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1753 1914 2871 3506 3828 5259 5742 7012 10518 11484 15777 19283 21036 31554 38566 50837 57849 63108 77132 101674 115698 152511 173547 203348 231396 305022 347094 457533 559207 610044 694188 915066 1118414 1677621 1830132 2236828 3355242 5032863 6710484 10065726 20131452