Search a number
-
+
142859700 = 2235525879
BaseRepresentation
bin10001000001111…
…01110110110100
3100221211000200000
420200331312310
5243033002300
622101551300
73353200404
oct1040756664
9327730600
10142859700
1173705675
123ba15530
132379bb89
1414d8a804
15c81dc00
hex883ddb4

142859700 has 108 divisors (see below), whose sum is σ = 464449440. Its totient is φ = 38089440.

The previous prime is 142859681. The next prime is 142859711. The reversal of 142859700 is 7958241.

142859700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21361 + ... + 27239.

Almost surely, 2142859700 is an apocalyptic number.

142859700 is a gapful number since it is divisible by the number (10) 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 142859700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232224720).

142859700 is an abundant number, since it is smaller than the sum of its proper divisors (321589740).

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

142859700 is a wasteful number, since it uses less digits than its factorization.

142859700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5908 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 142859700 is about 11952.3930658258. The cubic root of 142859700 is about 522.7610776786.

The spelling of 142859700 in words is "one hundred forty-two million, eight hundred fifty-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 810 900 972 1215 1350 1620 2025 2430 2700 4050 4860 5879 6075 8100 11758 12150 17637 23516 24300 29395 35274 52911 58790 70548 88185 105822 117580 146975 158733 176370 211644 264555 293950 317466 352740 440925 476199 529110 587900 634932 793665 881850 952398 1058220 1322775 1428597 1587330 1763700 1904796 2380995 2645550 2857194 3174660 3968325 4761990 5291100 5714388 7142985 7936650 9523980 11904975 14285970 15873300 23809950 28571940 35714925 47619900 71429850 142859700