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142120896 = 263898317
BaseRepresentation
bin10000111100010…
…01011111000000
3100220102111012220
420132021133000
5242340332041
622034051040
73344002431
oct1036113700
9326374186
10142120896
1173250595
123b719a80
13235a0808
1414c37488
15c724d66
hex87897c0

142120896 has 56 divisors (see below), whose sum is σ = 380298960. Its totient is φ = 46835712.

The previous prime is 142120871. The next prime is 142120907. The reversal of 142120896 is 698021241.

142120896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 12930 + ... + 21246.

Almost surely, 2142120896 is an apocalyptic number.

142120896 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 142120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190149480).

142120896 is an abundant number, since it is smaller than the sum of its proper divisors (238178064).

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

142120896 is an equidigital number, since it uses as much as digits as its factorization.

142120896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8421 (or 8411 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 142120896 is about 11921.4468920513. The cubic root of 142120896 is about 521.8583605963.

The spelling of 142120896 in words is "one hundred forty-two million, one hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 178 192 267 356 534 712 1068 1424 2136 2848 4272 5696 8317 8544 16634 17088 24951 33268 49902 66536 99804 133072 199608 266144 399216 532288 740213 798432 1480426 1596864 2220639 2960852 4441278 5921704 8882556 11843408 17765112 23686816 35530224 47373632 71060448 142120896