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1132031320 = 235724114087
BaseRepresentation
bin100001101111001…
…0110110101011000
32220220010011000221
41003132112311120
54304300000240
6304155205424
740024051600
oct10336266530
92826104027
101132031320
11531002982
12277146874
131506b7424
14aa4b9c00
15695b1a4a
hex43796d58

1132031320 has 96 divisors (see below), whose sum is σ = 3035400480. Its totient is φ = 378631680.

The previous prime is 1132031291. The next prime is 1132031347. The reversal of 1132031320 is 231302311.

It is a junction number, because it is equal to n+sod(n) for n = 1132031294 and 1132031303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73317 + ... + 87403.

It is an arithmetic number, because the mean of its divisors is an integer number (31618755).

Almost surely, 21132031320 is an apocalyptic number.

1132031320 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 1132031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517700240).

1132031320 is an abundant number, since it is smaller than the sum of its proper divisors (1903369160).

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

1132031320 is a wasteful number, since it uses less digits than its factorization.

1132031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14153 (or 14142 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1132031320 is about 33645.6731244896. The cubic root of 1132031320 is about 1042.2041885282.

Adding to 1132031320 its reverse (231302311), we get a palindrome (1363333631).

The spelling of 1132031320 in words is "one billion, one hundred thirty-two million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 49 56 70 82 98 140 164 196 205 245 280 287 328 392 410 490 574 820 980 1148 1435 1640 1960 2009 2296 2870 4018 5740 8036 10045 11480 14087 16072 20090 28174 40180 56348 70435 80360 98609 112696 140870 197218 281740 394436 493045 563480 577567 690263 788872 986090 1155134 1380526 1972180 2310268 2761052 2887835 3451315 3944360 4042969 4620536 5522104 5775670 6902630 8085938 11551340 13805260 16171876 20214845 23102680 27610520 28300783 32343752 40429690 56601566 80859380 113203132 141503915 161718760 226406264 283007830 566015660 1132031320