Search a number
-
+
142042260 = 223537109587
BaseRepresentation
bin10000111011101…
…10010010010100
3100220021111100110
420131312102110
5242330323020
622032243020
73343224243
oct1035662224
9326244313
10142042260
11731a74a8
123b6a0470
1323573a99
1414c1695a
15c70b8e0
hex8776494

142042260 has 96 divisors (see below), whose sum is σ = 412917120. Its totient is φ = 36453888.

The previous prime is 142042247. The next prime is 142042283. The reversal of 142042260 is 62240241.

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 31 ways as a sum of consecutive naturals, for example, 241687 + ... + 242273.

It is an arithmetic number, because the mean of its divisors is an integer number (4301220).

Almost surely, 2142042260 is an apocalyptic number.

142042260 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 142042260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206458560).

142042260 is an abundant number, since it is smaller than the sum of its proper divisors (270874860).

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

142042260 is a wasteful number, since it uses less digits than its factorization.

142042260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 142042260 is about 11918.1483461148. The cubic root of 142042260 is about 521.7620941402.

The spelling of 142042260 in words is "one hundred forty-two million, forty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 109 111 148 185 218 222 327 370 436 444 545 555 587 654 740 1090 1110 1174 1308 1635 1761 2180 2220 2348 2935 3270 3522 4033 5870 6540 7044 8066 8805 11740 12099 16132 17610 20165 21719 24198 35220 40330 43438 48396 60495 63983 65157 80660 86876 108595 120990 127966 130314 191949 217190 241980 255932 260628 319915 325785 383898 434380 639830 651570 767796 959745 1279660 1303140 1919490 2367371 3838980 4734742 7102113 9469484 11836855 14204226 23673710 28408452 35510565 47347420 71021130 142042260