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142389936 = 24321325851
BaseRepresentation
bin10000111110010…
…11001010110000
3100220221011021100
420133023022300
5242422434221
622043524400
73346203003
oct1037131260
9326834240
10142389936
1173414737
123b829700
1323666100
1414ca753a
15c779926
hex87cb2b0

142389936 has 90 divisors (see below), whose sum is σ = 431579148. Its totient is φ = 43804800.

The previous prime is 142389917. The next prime is 142389967. The reversal of 142389936 is 639983241.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 142389891 and 142389900.

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 17 ways as a sum of consecutive naturals, for example, 21411 + ... + 27261.

Almost surely, 2142389936 is an apocalyptic number.

142389936 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 142389936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215789574).

142389936 is an abundant number, since it is smaller than the sum of its proper divisors (289189212).

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

142389936 is a wasteful number, since it uses less digits than its factorization.

142389936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891 (or 5869 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 142389936 is about 11932.7254221322. The cubic root of 142389936 is about 522.1874519445.

The spelling of 142389936 in words is "one hundred forty-two million, three hundred eighty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 5851 6084 8112 11702 12168 17553 23404 24336 35106 46808 52659 70212 76063 93616 105318 140424 152126 210636 228189 280848 304252 421272 456378 608504 684567 842544 912756 988819 1217008 1369134 1825512 1977638 2738268 2966457 3651024 3955276 5476536 5932914 7910552 8899371 10953072 11865828 15821104 17798742 23731656 35597484 47463312 71194968 142389936