Search a number
-
+
142037532 = 2232713191227
BaseRepresentation
bin10000111011101…
…01001000011100
3100220021020212100
420131311020130
5242330200112
622032205100
73343204410
oct1035651034
9326236770
10142037532
11731a399a
123b699790
13235718a0
1414c14d40
15c70a2dc
hex877521c

142037532 has 144 divisors (see below), whose sum is σ = 446164992. Its totient is φ = 37100160.

The previous prime is 142037531. The next prime is 142037537. The reversal of 142037532 is 235730241.

It is a junction number, because it is equal to n+sod(n) for n = 142037496 and 142037505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142037531) 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 47 ways as a sum of consecutive naturals, for example, 625603 + ... + 625829.

It is an arithmetic number, because the mean of its divisors is an integer number (3098368).

Almost surely, 2142037532 is an apocalyptic number.

142037532 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 142037532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223082496).

142037532 is an abundant number, since it is smaller than the sum of its proper divisors (304127460).

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

142037532 is a wasteful number, since it uses less digits than its factorization.

142037532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 142037532 is about 11917.9499915044. The cubic root of 142037532 is about 521.7563049745.

Adding to 142037532 its reverse (235730241), we get a palindrome (377767773).

The spelling of 142037532 in words is "one hundred forty-two million, thirty-seven thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 191 227 234 252 273 364 382 454 468 546 573 681 764 819 908 1092 1146 1337 1362 1589 1638 1719 2043 2292 2483 2674 2724 2951 3178 3276 3438 4011 4086 4767 4966 5348 5902 6356 6876 7449 8022 8172 8853 9534 9932 11804 12033 14301 14898 16044 17381 17706 19068 20657 22347 24066 26559 28602 29796 34762 35412 41314 43357 44694 48132 52143 53118 57204 61971 69524 82628 86714 89388 104286 106236 123942 130071 156429 173428 185913 208572 247884 260142 303499 312858 371826 390213 520284 563641 606998 625716 743652 780426 910497 1127282 1213996 1560852 1690923 1820994 2254564 2731491 3381846 3641988 3945487 5072769 5462982 6763692 7890974 10145538 10925964 11836461 15781948 20291076 23672922 35509383 47345844 71018766 142037532