Search a number
-
+
1129855824 = 243319137653
BaseRepresentation
bin100001101011000…
…0011101101010000
32220202000121211000
41003112003231100
54303220341244
6304040422000
736666421206
oct10326035520
92822017730
101129855824
1152a857449
12276477900
13150105156
14aa0b1076
15692d2169
hex43583b50

1129855824 has 80 divisors (see below), whose sum is σ = 3413819200. Its totient is φ = 356793984.

The previous prime is 1129855823. The next prime is 1129855849. The reversal of 1129855824 is 4285589211.

1129855824 is a `hidden beast` number, since 1 + 1 + 2 + 98 + 558 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1129855824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129855823) 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, 60619 + ... + 77034.

It is an arithmetic number, because the mean of its divisors is an integer number (42672740).

Almost surely, 21129855824 is an apocalyptic number.

It is an amenable number.

1129855824 is an abundant number, since it is smaller than the sum of its proper divisors (2283963376).

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

1129855824 is a wasteful number, since it uses less digits than its factorization.

1129855824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137689 (or 137677 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 1129855824 is about 33613.3280708709. The cubic root of 1129855824 is about 1041.5361372215.

The spelling of 1129855824 in words is "one billion, one hundred twenty-nine million, eight hundred fifty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 137653 275306 412959 550612 825918 1101224 1238877 1651836 2202448 2477754 2615407 3303672 3716631 4955508 5230814 6607344 7433262 7846221 9911016 10461628 14866524 15692442 19822032 20923256 23538663 29733048 31384884 41846512 47077326 59466096 62769768 70615989 94154652 125539536 141231978 188309304 282463956 376618608 564927912 1129855824