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1130244320 = 25517224443
BaseRepresentation
bin100001101011110…
…0010100011100000
32220202202100201202
41003113202203200
54303320304240
6304053020332
740002626642
oct10327424340
92822670652
101130244320
1152aaa2317
122766246a8
1315020cc2a
14aa172892
156935c315
hex435e28e0

1130244320 has 72 divisors (see below), whose sum is σ = 2836628424. Its totient is φ = 425486336.

The previous prime is 1130244307. The next prime is 1130244343. The reversal of 1130244320 is 234420311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1130244292 and 1130244301.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 34019 + ... + 58461.

It is an arithmetic number, because the mean of its divisors is an integer number (39397617).

Almost surely, 21130244320 is an apocalyptic number.

1130244320 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 1130244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418314212).

1130244320 is an abundant number, since it is smaller than the sum of its proper divisors (1706384104).

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

1130244320 is a wasteful number, since it uses less digits than its factorization.

1130244320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24492 (or 24467 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1130244320 is about 33619.1064723618. The cubic root of 1130244320 is about 1041.6554994287.

Adding to 1130244320 its reverse (234420311), we get a palindrome (1364664631).

The spelling of 1130244320 in words is "one billion, one hundred thirty million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 289 340 544 578 680 1156 1360 1445 2312 2720 2890 4624 5780 9248 11560 23120 24443 46240 48886 97772 122215 195544 244430 391088 415531 488860 782176 831062 977720 1662124 1955440 2077655 3324248 3910880 4155310 6648496 7064027 8310620 13296992 14128054 16621240 28256108 33242480 35320135 56512216 66484960 70640270 113024432 141280540 226048864 282561080 565122160 1130244320