Search a number
-
+
142425432 = 23333771251
BaseRepresentation
bin10000111110100…
…11110101011000
3100220222221222000
420133103311120
5242430103212
622044401000
73346411332
oct1037236530
9326887860
10142425432
1173439376
123b846160
1323679306
1414cb6452
15c7851dc
hex87d3d58

142425432 has 128 divisors (see below), whose sum is σ = 413683200. Its totient is φ = 45360000.

The previous prime is 142425403. The next prime is 142425443. The reversal of 142425432 is 234524241.

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 = 142425396 and 142425405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567307 + ... + 567557.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 2142425432 is an apocalyptic number.

142425432 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 142425432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

142425432 is an abundant number, since it is smaller than the sum of its proper divisors (271257768).

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

142425432 is a wasteful number, since it uses less digits than its factorization.

142425432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 142425432 is about 11934.2126677884. The cubic root of 142425432 is about 522.2308399027.

Adding to 142425432 its reverse (234524241), we get a palindrome (376949673).

The spelling of 142425432 in words is "one hundred forty-two million, four hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 71 72 74 108 111 142 148 213 216 222 251 284 296 333 426 444 502 568 639 666 753 852 888 999 1004 1278 1332 1506 1704 1917 1998 2008 2259 2556 2627 2664 3012 3834 3996 4518 5112 5254 6024 6777 7668 7881 7992 9036 9287 10508 13554 15336 15762 17821 18072 18574 21016 23643 27108 27861 31524 35642 37148 47286 53463 54216 55722 63048 70929 71284 74296 83583 94572 106926 111444 141858 142568 160389 167166 189144 213852 222888 250749 283716 320778 334332 427704 481167 501498 567432 641556 659377 668664 962334 1002996 1283112 1318754 1924668 1978131 2005992 2637508 3849336 3956262 5275016 5934393 7912524 11868786 15825048 17803179 23737572 35606358 47475144 71212716 142425432