Search a number
-
+
142342100 = 225253107251
BaseRepresentation
bin10000111101111…
…11011111010100
3100220211201122122
420132333133110
5242414421400
622042515112
73345613355
oct1036773724
9326751578
10142342100
11733917aa
123b805a98
132364a3c4
1414c93d2c
15c76a685
hex87bf7d4

142342100 has 72 divisors (see below), whose sum is σ = 318917088. Its totient is φ = 55120000.

The previous prime is 142342099. The next prime is 142342141. The reversal of 142342100 is 1243241.

It is a super-2 number, since 2×1423421002 = 40522546864820000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566975 + ... + 567225.

It is an arithmetic number, because the mean of its divisors is an integer number (4429404).

Almost surely, 2142342100 is an apocalyptic number.

142342100 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 142342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159458544).

142342100 is an abundant number, since it is smaller than the sum of its proper divisors (176574988).

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

142342100 is a wasteful number, since it uses less digits than its factorization.

142342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 142342100 is about 11930.7208499738. The cubic root of 142342100 is about 522.1289689799.

Adding to 142342100 its reverse (1243241), we get a palindrome (143585341).

The spelling of 142342100 in words is "one hundred forty-two million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 107 212 214 251 265 428 502 530 535 1004 1060 1070 1255 1325 2140 2510 2650 2675 5020 5300 5350 5671 6275 10700 11342 12550 13303 22684 25100 26606 26857 28355 53212 53714 56710 66515 107428 113420 133030 134285 141775 266060 268570 283550 332575 537140 567100 665150 671425 1330300 1342850 1423421 2685700 2846842 5693684 7117105 14234210 28468420 35585525 71171050 142342100