Search a number
-
+
142520544 = 25324710529
BaseRepresentation
bin10000111111010…
…11000011100000
3100221011210102200
420133223003200
5242441124134
622050413200
73350255535
oct1037530340
9327153380
10142520544
11734a3881
123b891200
13236b06aa
1414cdcd8c
15c7a3499
hex87eb0e0

142520544 has 72 divisors (see below), whose sum is σ = 413955360. Its totient is φ = 46491648.

The previous prime is 142520527. The next prime is 142520557. The reversal of 142520544 is 445025241.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8272 + ... + 18800.

It is an arithmetic number, because the mean of its divisors is an integer number (5749380).

Almost surely, 2142520544 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 142520544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206977680).

142520544 is an abundant number, since it is smaller than the sum of its proper divisors (271434816).

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

142520544 is a wasteful number, since it uses less digits than its factorization.

142520544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10592 (or 10581 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 142520544 is about 11938.1968487708. The cubic root of 142520544 is about 522.3470629826.

Adding to 142520544 its reverse (445025241), we get a palindrome (587545785).

The spelling of 142520544 in words is "one hundred forty-two million, five hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 10529 13536 21058 31587 42116 63174 84232 94761 126348 168464 189522 252696 336928 379044 494863 505392 758088 989726 1010784 1484589 1516176 1979452 2969178 3032352 3958904 4453767 5938356 7917808 8907534 11876712 15835616 17815068 23753424 35630136 47506848 71260272 142520544