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1141230328 = 237107283673
BaseRepresentation
bin100010000000101…
…1100101011111000
32221112102111200221
41010001130223320
54314123332303
6305124305424
740165204060
oct10401345370
92845374627
101141230328
11536216267
1227a242274
13152588524
14ab7d23a0
156a2cc4bd
hex4405caf8

1141230328 has 64 divisors (see below), whose sum is σ = 2480751360. Its totient is φ = 482098176.

The previous prime is 1141230323. The next prime is 1141230371. The reversal of 1141230328 is 8230321411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141230323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1695400 + ... + 1696072.

It is an arithmetic number, because the mean of its divisors is an integer number (38761740).

Almost surely, 21141230328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141230328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240375680).

1141230328 is an abundant number, since it is smaller than the sum of its proper divisors (1339521032).

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

1141230328 is a wasteful number, since it uses less digits than its factorization.

1141230328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1141230328 is about 33782.1007043671. The cubic root of 1141230328 is about 1045.0195971692.

Adding to 1141230328 its reverse (8230321411), we get a palindrome (9371551739).

The spelling of 1141230328 in words is "one billion, one hundred forty-one million, two hundred thirty thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 107 214 283 428 566 673 749 856 1132 1346 1498 1981 2264 2692 2996 3962 4711 5384 5992 7924 9422 15848 18844 30281 37688 60562 72011 121124 144022 190459 211967 242248 288044 380918 423934 504077 576088 761836 847868 1008154 1333213 1523672 1695736 2016308 2666426 4032616 5332852 10665704 20379113 40758226 81516452 142653791 163032904 285307582 570615164 1141230328