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1141280592 = 243414391321
BaseRepresentation
bin100010000000110…
…1000111101010000
32221112112001122120
41010001220331100
54314131434332
6305125334240
740165503444
oct10401507520
92845461576
101141280592
11536250001
1227a267380
131525a537a
14ab806824
156a2dc32c
hex44068f50

1141280592 has 80 divisors (see below), whose sum is σ = 3029389440. Its totient is φ = 370022400.

The previous prime is 1141280573. The next prime is 1141280597. The reversal of 1141280592 is 2950821411.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141280597) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 863292 + ... + 864612.

It is an arithmetic number, because the mean of its divisors is an integer number (37867368).

Almost surely, 21141280592 is an apocalyptic number.

1141280592 is a gapful number since it is divisible by the number (12) 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 1141280592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514694720).

1141280592 is an abundant number, since it is smaller than the sum of its proper divisors (1888108848).

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

1141280592 is a wasteful number, since it uses less digits than its factorization.

1141280592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1141280592 is about 33782.8446404384. The cubic root of 1141280592 is about 1045.0349391186.

The spelling of 1141280592 in words is "one billion, one hundred forty-one million, two hundred eighty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 439 492 656 878 984 1317 1321 1756 1968 2634 2642 3512 3963 5268 5284 7024 7926 10536 10568 15852 17999 21072 21136 31704 35998 53997 54161 63408 71996 107994 108322 143992 162483 215988 216644 287984 324966 431976 433288 579919 649932 863952 866576 1159838 1299864 1739757 2319676 2599728 3479514 4639352 6959028 9278704 13918056 23776679 27836112 47553358 71330037 95106716 142660074 190213432 285320148 380426864 570640296 1141280592