Search a number
-
+
142208430 = 23571324007
BaseRepresentation
bin10000111100111…
…10110110101110
3100220120221021220
420132132312232
5242401132210
622040004210
73344515560
oct1036366656
9326527256
10142208430
1173300331
123b760666
1323601600
1414c5b330
15c740c70
hex879edae

142208430 has 96 divisors (see below), whose sum is σ = 422475264. Its totient is φ = 29996928.

The previous prime is 142208413. The next prime is 142208497. The reversal of 142208430 is 34802241.

It is a self number, because there is not a number n which added to its sum of digits gives 142208430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33487 + ... + 37493.

It is an arithmetic number, because the mean of its divisors is an integer number (4400784).

Almost surely, 2142208430 is an apocalyptic number.

142208430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142208430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211237632).

142208430 is an abundant number, since it is smaller than the sum of its proper divisors (280266834).

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

142208430 is a wasteful number, since it uses less digits than its factorization.

142208430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 142208430 is about 11925.1176094829. The cubic root of 142208430 is about 521.9654782590.

The spelling of 142208430 in words is "one hundred forty-two million, two hundred eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 169 182 195 210 273 338 390 455 507 546 845 910 1014 1183 1365 1690 2366 2535 2730 3549 4007 5070 5915 7098 8014 11830 12021 17745 20035 24042 28049 35490 40070 52091 56098 60105 84147 104182 120210 140245 156273 168294 260455 280490 312546 364637 420735 520910 677183 729274 781365 841470 1093911 1354366 1562730 1823185 2031549 2187822 3385915 3646370 4063098 4740281 5469555 6771830 9480562 10157745 10939110 14220843 20315490 23701405 28441686 47402810 71104215 142208430