Search a number
-
+
142080024 = 23319595281
BaseRepresentation
bin10000111011111…
…11100000011000
3100220100102011010
420131333200120
5242333030044
622033133520
73343442322
oct1035774030
9326312133
10142080024
1173222909
123b6ba2a0
1323588028
1414c26612
15c717bb9
hex877f818

142080024 has 64 divisors (see below), whose sum is σ = 380304000. Its totient is φ = 44098560.

The previous prime is 142080023. The next prime is 142080053. The reversal of 142080024 is 420080241.

142080024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142080023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24264 + ... + 29544.

It is an arithmetic number, because the mean of its divisors is an integer number (5942250).

Almost surely, 2142080024 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 142080024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190152000).

142080024 is an abundant number, since it is smaller than the sum of its proper divisors (238223976).

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

142080024 is a wasteful number, since it uses less digits than its factorization.

142080024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5368 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 142080024 is about 11919.7325473351. The cubic root of 142080024 is about 521.8083293893.

The spelling of 142080024 in words is "one hundred forty-two million, eighty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 59 76 114 118 152 177 228 236 354 456 472 708 1121 1416 2242 3363 4484 5281 6726 8968 10562 13452 15843 21124 26904 31686 42248 63372 100339 126744 200678 301017 311579 401356 602034 623158 802712 934737 1204068 1246316 1869474 2408136 2492632 3738948 5920001 7477896 11840002 17760003 23680004 35520006 47360008 71040012 142080024