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1130252620 = 2257219101601
BaseRepresentation
bin100001101011110…
…0100100101001100
32220202202210010011
41003113210211030
54303321040440
6304053123004
740002663100
oct10327444514
92822683104
101130252620
1152aaa8582
12276629464
13150213943
14aa175900
156935e9ea
hex435e494c

1130252620 has 144 divisors (see below), whose sum is σ = 2940023520. Its totient is φ = 362880000.

The previous prime is 1130252609. The next prime is 1130252647. The reversal of 1130252620 is 262520311.

It is a junction number, because it is equal to n+sod(n) for n = 1130252591 and 1130252600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1880320 + ... + 1880920.

It is an arithmetic number, because the mean of its divisors is an integer number (20416830).

Almost surely, 21130252620 is an apocalyptic number.

1130252620 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 1130252620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470011760).

1130252620 is an abundant number, since it is smaller than the sum of its proper divisors (1809770900).

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

1130252620 is a wasteful number, since it uses less digits than its factorization.

1130252620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1130252620 is about 33619.2299138454. The cubic root of 1130252620 is about 1041.6580492372.

Adding to 1130252620 its reverse (262520311), we get a palindrome (1392772931).

The spelling of 1130252620 in words is "one billion, one hundred thirty million, two hundred fifty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 101 133 140 190 196 202 245 266 380 404 490 505 532 601 665 707 931 980 1010 1202 1330 1414 1862 1919 2020 2404 2660 2828 3005 3535 3724 3838 4207 4655 4949 6010 7070 7676 8414 9310 9595 9898 11419 12020 13433 14140 16828 18620 19190 19796 21035 22838 24745 26866 29449 38380 42070 45676 49490 53732 57095 58898 60701 67165 79933 84140 94031 98980 114190 117796 121402 134330 147245 159866 188062 228380 242804 268660 294490 303505 319732 376124 399665 424907 470155 559531 588980 607010 799330 849814 940310 1119062 1153319 1214020 1598660 1699628 1880620 2124535 2238124 2306638 2797655 2974349 4249070 4613276 5595310 5766595 5948698 8073233 8498140 11190620 11533190 11897396 14871745 16146466 23066380 29743490 32292932 40366165 56512631 59486980 80732330 113025262 161464660 226050524 282563155 565126310 1130252620