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142202320 = 24513136733
BaseRepresentation
bin10000111100111…
…01010111010000
3100220120121220121
420132131113100
5242400433240
622035520024
73344462011
oct1036352720
9326517817
10142202320
11732a6787
123b759014
13235cb8b0
1414c59008
15c73e04a
hex879d5d0

142202320 has 40 divisors (see below), whose sum is σ = 356055336. Its totient is φ = 52505088.

The previous prime is 142202317. The next prime is 142202329. The reversal of 142202320 is 23202241.

142202320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4562496 + 137639824 = 2136^2 + 11732^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 142202294 and 142202303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142202329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67327 + ... + 69406.

Almost surely, 2142202320 is an apocalyptic number.

142202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142202320 is an abundant number, since it is smaller than the sum of its proper divisors (213853016).

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

142202320 is a wasteful number, since it uses less digits than its factorization.

142202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136759 (or 136753 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 142202320 is about 11924.8614247714. The cubic root of 142202320 is about 521.9580027182.

Adding to 142202320 its reverse (23202241), we get a palindrome (165404561).

The spelling of 142202320 in words is "one hundred forty-two million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 136733 273466 546932 683665 1093864 1367330 1777529 2187728 2734660 3555058 5469320 7110116 8887645 10938640 14220232 17775290 28440464 35550580 71101160 142202320