Search a number
-
+
142854336 = 2632376703
BaseRepresentation
bin10001000001111…
…00100011000000
3100221210202022100
420200330203000
5243032314321
622101510400
73353145642
oct1040744300
9327722270
10142854336
1173701639
123ba12400
13237995c1
1414d88892
15c81c326
hex883c8c0

142854336 has 84 divisors (see below), whose sum is σ = 420595552. Its totient is φ = 46324224.

The previous prime is 142854323. The next prime is 142854359. The reversal of 142854336 is 633458241.

142854336 is a `hidden beast` number, since 142 + 85 + 433 + 6 = 666.

It is a super-2 number, since 2×1428543362 = 40814722628001792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 142854336.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17961 + ... + 24663.

Almost surely, 2142854336 is an apocalyptic number.

142854336 is a gapful number since it is divisible by the number (16) 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 142854336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210297776).

142854336 is an abundant number, since it is smaller than the sum of its proper divisors (277741216).

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

142854336 is a wasteful number, since it uses less digits than its factorization.

142854336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6758 (or 6745 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 142854336 is about 11952.1686735086. The cubic root of 142854336 is about 522.7545348362.

The spelling of 142854336 in words is "one hundred forty-two million, eight hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2664 3552 5328 6703 7104 10656 13406 20109 21312 26812 40218 53624 60327 80436 107248 120654 160872 214496 241308 248011 321744 428992 482616 496022 643488 744033 965232 992044 1286976 1488066 1930464 1984088 2232099 2976132 3860928 3968176 4464198 5952264 7936352 8928396 11904528 15872704 17856792 23809056 35713584 47618112 71427168 142854336