Search a number
-
+
142306464 = 2531482359
BaseRepresentation
bin10000111101101…
…10110010100000
3100220202220202210
420132312302200
5242412301324
622042042120
73345404436
oct1036666240
9326686683
10142306464
1173367a53
123b7a9340
1323637111
1414c84d56
15c75ed29
hex87b6ca0

142306464 has 24 divisors (see below), whose sum is σ = 373554720. Its totient is φ = 47435456.

The previous prime is 142306457. The next prime is 142306471. The reversal of 142306464 is 464603241.

It is an interprime number because it is at equal distance from previous prime (142306457) and next prime (142306471).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1423064642 = 40502259392366592, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 741084 + ... + 741275.

It is an arithmetic number, because the mean of its divisors is an integer number (15564780).

Almost surely, 2142306464 is an apocalyptic number.

It is an amenable number.

142306464 is an abundant number, since it is smaller than the sum of its proper divisors (231248256).

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

142306464 is a wasteful number, since it uses less digits than its factorization.

142306464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482372 (or 1482364 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 142306464 is about 11929.2273010451. The cubic root of 142306464 is about 522.0853928796.

The spelling of 142306464 in words is "one hundred forty-two million, three hundred six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1482359 2964718 4447077 5929436 8894154 11858872 17788308 23717744 35576616 47435488 71153232 142306464