Search a number
-
+
142199360 = 2651273499
BaseRepresentation
bin10000111100111…
…00101001000000
3100220120110211222
420132130221000
5242400334420
622035454212
73344450252
oct1036345100
9326513758
10142199360
11732a4536
123b757368
13235ca444
1414c57cd2
15c73d225
hex879ca40

142199360 has 56 divisors (see below), whose sum is σ = 341376000. Its totient is φ = 56415744.

The previous prime is 142199347. The next prime is 142199377. The reversal of 142199360 is 63991241.

It is a self number, because there is not a number n which added to its sum of digits gives 142199360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38891 + ... + 42389.

It is an arithmetic number, because the mean of its divisors is an integer number (6096000).

Almost surely, 2142199360 is an apocalyptic number.

142199360 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 142199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170688000).

142199360 is an abundant number, since it is smaller than the sum of its proper divisors (199176640).

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

142199360 is a wasteful number, since it uses less digits than its factorization.

142199360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 142199360 is about 11924.7373136686. The cubic root of 142199360 is about 521.9543811026.

The spelling of 142199360 in words is "one hundred forty-two million, one hundred ninety-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 160 254 320 508 635 1016 1270 2032 2540 3499 4064 5080 6998 8128 10160 13996 17495 20320 27992 34990 40640 55984 69980 111968 139960 223936 279920 444373 559840 888746 1119680 1777492 2221865 3554984 4443730 7109968 8887460 14219936 17774920 28439872 35549840 71099680 142199360