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1600004142 = 2321123933811
BaseRepresentation
bin101111101011110…
…0010000000101110
311010111200122001200
41133113202000232
511234100113032
6422433350330
754435545052
oct13727420056
94114618050
101600004142
11751184880
12387a083a6
131c6637919
141126d5c62
159570047c
hex5f5e202e

1600004142 has 48 divisors (see below), whose sum is σ = 3797763840. Its totient is φ = 482806800.

The previous prime is 1600004141. The next prime is 1600004149. The reversal of 1600004142 is 2414000061.

1600004142 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1600004141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30417 + ... + 64227.

It is an arithmetic number, because the mean of its divisors is an integer number (79120080).

Almost surely, 21600004142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1600004142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898881920).

1600004142 is an abundant number, since it is smaller than the sum of its proper divisors (2197759698).

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

1600004142 is a wasteful number, since it uses less digits than its factorization.

1600004142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34069 (or 34066 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1600004142 is about 40000.0517749665. The cubic root of 1600004142 is about 1169.6081045577.

The spelling of 1600004142 in words is "one billion, six hundred million, four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 239 478 717 1434 2151 2629 4302 5258 7887 15774 23661 33811 47322 67622 101433 202866 304299 371921 608598 743842 1115763 2231526 3347289 6694578 8080829 16161658 24242487 48484974 72727461 88889119 145454922 177778238 266667357 533334714 800002071 1600004142