Search a number
-
+
142577360 = 2452337649
BaseRepresentation
bin10000111111110…
…00111011010000
3100221021200100222
420133320323100
5242444433420
622051532212
73350613302
oct1037707320
9327250328
10142577360
1173532532
123b8ba068
1323700503
1414d15972
15c7b5225
hex87f8ed0

142577360 has 40 divisors (see below), whose sum is σ = 332958600. Its totient is φ = 56778752.

The previous prime is 142577359. The next prime is 142577363. The reversal of 142577360 is 63775241.

It can be written as a sum of positive squares in 4 ways, for example, as 2202256 + 140375104 = 1484^2 + 11848^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 142577360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142577363) 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, 14816 + ... + 22464.

It is an arithmetic number, because the mean of its divisors is an integer number (8323965).

Almost surely, 2142577360 is an apocalyptic number.

142577360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142577360 is an abundant number, since it is smaller than the sum of its proper divisors (190381240).

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

142577360 is a wasteful number, since it uses less digits than its factorization.

142577360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7895 (or 7889 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 142577360 is about 11940.5762005022. The cubic root of 142577360 is about 522.4164652060.

The spelling of 142577360 in words is "one hundred forty-two million, five hundred seventy-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 233 466 932 1165 1864 2330 3728 4660 7649 9320 15298 18640 30596 38245 61192 76490 122384 152980 305960 611920 1782217 3564434 7128868 8911085 14257736 17822170 28515472 35644340 71288680 142577360