Search a number
-
+
142233140 = 22571397309
BaseRepresentation
bin10000111101001…
…00111000110100
3100220122012012002
420132210320310
5242402430030
622040314432
73344650610
oct1036447064
9326565162
10142233140
1173317955
123b772a18
132360c92a
1414c66340
15c748245
hex87a4e34

142233140 has 48 divisors (see below), whose sum is σ = 343862400. Its totient is φ = 48408192.

The previous prime is 142233109. The next prime is 142233163. The reversal of 142233140 is 41332241.

It is a super-2 number, since 2×1422331402 = 40460532228519200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15806 + ... + 23114.

It is an arithmetic number, because the mean of its divisors is an integer number (7163800).

Almost surely, 2142233140 is an apocalyptic number.

142233140 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 142233140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171931200).

142233140 is an abundant number, since it is smaller than the sum of its proper divisors (201629260).

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

142233140 is a wasteful number, since it uses less digits than its factorization.

142233140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7464 (or 7462 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 142233140 is about 11926.1536129634. The cubic root of 142233140 is about 521.9957085813.

Adding to 142233140 its reverse (41332241), we get a palindrome (183565381).

The spelling of 142233140 in words is "one hundred forty-two million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 139 140 278 556 695 973 1390 1946 2780 3892 4865 7309 9730 14618 19460 29236 36545 51163 73090 102326 146180 204652 255815 511630 1015951 1023260 2031902 4063804 5079755 7111657 10159510 14223314 20319020 28446628 35558285 71116570 142233140