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142390768 = 24131933547
BaseRepresentation
bin10000111110010…
…11010111110000
3100220221012102011
420133023113300
5242423001033
622043532304
73346205302
oct1037132760
9326835364
10142390768
1173415323
123b82a094
13236665c0
1414ca7972
15c779ccd
hex87cb5f0

142390768 has 40 divisors (see below), whose sum is σ = 298727408. Its totient is φ = 65359872.

The previous prime is 142390757. The next prime is 142390811. The reversal of 142390768 is 867093241.

142390768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 142390768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38371 + ... + 41917.

Almost surely, 2142390768 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 142390768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149363704).

142390768 is an abundant number, since it is smaller than the sum of its proper divisors (156336640).

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

142390768 is a wasteful number, since it uses less digits than its factorization.

142390768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 142390768 is about 11932.7602841924. The cubic root of 142390768 is about 522.1884690087.

The spelling of 142390768 in words is "one hundred forty-two million, three hundred ninety thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 193 208 386 772 1544 2509 3088 3547 5018 7094 10036 14188 20072 28376 40144 46111 56752 92222 184444 368888 684571 737776 1369142 2738284 5476568 8899423 10953136 17798846 35597692 71195384 142390768