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1130004420 = 2235374311181
BaseRepresentation
bin100001101011010…
…0111111111000100
32220202022011122120
41003112213333010
54303240120140
6304043525540
740000610346
oct10326477704
92822264576
101130004420
1152a949056
122765298b0
1315015798c
14aa10d296
15693111d0
hex435a7fc4

1130004420 has 96 divisors (see below), whose sum is σ = 3259823616. Its totient is φ = 292262400.

The previous prime is 1130004419. The next prime is 1130004479. The reversal of 1130004420 is 244000311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1130004420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 956230 + ... + 957410.

It is an arithmetic number, because the mean of its divisors is an integer number (33956496).

Almost surely, 21130004420 is an apocalyptic number.

1130004420 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 1130004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629911808).

1130004420 is an abundant number, since it is smaller than the sum of its proper divisors (2129819196).

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

1130004420 is a wasteful number, since it uses less digits than its factorization.

1130004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1130004420 is about 33615.5383714139. The cubic root of 1130004420 is about 1041.5817953536.

Adding to 1130004420 its reverse (244000311), we get a palindrome (1374004731).

The spelling of 1130004420 in words is "one billion, one hundred thirty million, four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 431 444 555 740 862 1110 1181 1293 1724 2155 2220 2362 2586 3543 4310 4724 5172 5905 6465 7086 8620 11810 12930 14172 15947 17715 23620 25860 31894 35430 43697 47841 63788 70860 79735 87394 95682 131091 159470 174788 191364 218485 239205 262182 318940 436970 478410 509011 524364 655455 873940 956820 1018022 1310910 1527033 2036044 2545055 2621820 3054066 5090110 6108132 7635165 10180220 15270330 18833407 30540660 37666814 56500221 75333628 94167035 113000442 188334070 226000884 282501105 376668140 565002210 1130004420