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1130242020 = 223531733829
BaseRepresentation
bin100001101011110…
…0001111111100100
32220202202020120120
41003113201333210
54303320221040
6304053001540
740002620145
oct10327417744
92822666516
101130242020
1152aaa0616
122766232b0
1315020bb7b
14aa171acc
156935b7d0
hex435e1fe4

1130242020 has 96 divisors (see below), whose sum is σ = 3275166720. Its totient is φ = 290926080.

The previous prime is 1130241953. The next prime is 1130242067. The reversal of 1130242020 is 202420311.

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

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, 1362966 + ... + 1363794.

It is an arithmetic number, because the mean of its divisors is an integer number (34116320).

Almost surely, 21130242020 is an apocalyptic number.

1130242020 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 1130242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637583360).

1130242020 is an abundant number, since it is smaller than the sum of its proper divisors (2144924700).

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

1130242020 is a wasteful number, since it uses less digits than its factorization.

1130242020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1603 counting only the distinct ones).

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

The square root of 1130242020 is about 33619.0722656054. The cubic root of 1130242020 is about 1041.6547928531.

Adding to 1130242020 its reverse (202420311), we get a palindrome (1332662331).

The spelling of 1130242020 in words is "one billion, one hundred thirty million, two hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 733 829 930 1466 1658 1860 2199 2487 2932 3316 3665 4145 4398 4974 7330 8290 8796 9948 10995 12435 14660 16580 21990 22723 24870 25699 43980 45446 49740 51398 68169 77097 90892 102796 113615 128495 136338 154194 227230 256990 272676 308388 340845 385485 454460 513980 607657 681690 770970 1215314 1363380 1541940 1822971 2430628 3038285 3645942 6076570 7291884 9114855 12153140 18229710 18837367 36459420 37674734 56512101 75349468 94186835 113024202 188373670 226048404 282560505 376747340 565121010 1130242020