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142656432 = 2439912999
BaseRepresentation
bin10001000000011…
…00001110110000
3100221102200211120
420200030032300
5243010001212
622053342240
73351362652
oct1040141660
9327380746
10142656432
1173586986
123b937980
132372a4b9
1414d366d2
15c7cd88c
hex880c3b0

142656432 has 40 divisors (see below), whose sum is σ = 369024000. Its totient is φ = 47488320.

The previous prime is 142656431. The next prime is 142656439. The reversal of 142656432 is 234656241.

142656432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 142656393 and 142656402.

It is not an unprimeable number, because it can be changed into a prime (142656431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46069 + ... + 49067.

It is an arithmetic number, because the mean of its divisors is an integer number (9225600).

Almost surely, 2142656432 is an apocalyptic number.

142656432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142656432 is an abundant number, since it is smaller than the sum of its proper divisors (226367568).

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

142656432 is a wasteful number, since it uses less digits than its factorization.

142656432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001 (or 3995 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 142656432 is about 11943.8868045540. The cubic root of 142656432 is about 522.5130230341.

The spelling of 142656432 in words is "one hundred forty-two million, six hundred fifty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 991 1982 2973 2999 3964 5946 5998 7928 8997 11892 11996 15856 17994 23784 23992 35988 47568 47984 71976 143952 2972009 5944018 8916027 11888036 17832054 23776072 35664108 47552144 71328216 142656432