[go: up one dir, main page]

Search a number
-
+
20014524 = 223219291009
BaseRepresentation
bin100110001011…
…0010110111100
31101122211202200
41030112112330
520110431044
61552551500
7332056245
oct114262674
941584680
1020014524
1110330232
126852590
1341b9c1a
14292dccc
151b55369
hex13165bc

20014524 has 72 divisors (see below), whose sum is σ = 55146000. Its totient is φ = 6096384.

The previous prime is 20014523. The next prime is 20014529. The reversal of 20014524 is 42541002.

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

It is a junction number, because it is equal to n+sod(n) for n = 20014497 and 20014506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20014523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19332 + ... + 20340.

Almost surely, 220014524 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 20014524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27573000).

20014524 is an abundant number, since it is smaller than the sum of its proper divisors (35131476).

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

20014524 is a wasteful number, since it uses less digits than its factorization.

20014524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 20014524 is about 4473.7594928650. The cubic root of 20014524 is about 271.5074527629.

Adding to 20014524 its reverse (42541002), we get a palindrome (62555526).

The spelling of 20014524 in words is "twenty million, fourteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 261 342 348 522 551 684 1009 1044 1102 1653 2018 2204 3027 3306 4036 4959 6054 6612 9081 9918 12108 18162 19171 19836 29261 36324 38342 57513 58522 76684 87783 115026 117044 172539 175566 230052 263349 345078 351132 526698 555959 690156 1053396 1111918 1667877 2223836 3335754 5003631 6671508 10007262 20014524