Search a number
-
+
1128720042 = 233192394603
BaseRepresentation
bin100001101000110…
…1110011010101010
32220122212220211000
41003101232122222
54302423020132
6304000215430
736653650662
oct10321563252
92818786730
101128720042
1152a15108a
1227600a576
1314cac81a8
14a9c971a2
156915a87c
hex4346e6aa

1128720042 has 64 divisors (see below), whose sum is σ = 2651904000. Its totient is φ = 354869424.

The previous prime is 1128720031. The next prime is 1128720077. The reversal of 1128720042 is 2400278211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1128719988 and 1128720015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242913 + ... + 247515.

It is an arithmetic number, because the mean of its divisors is an integer number (41436000).

Almost surely, 21128720042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1128720042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325952000).

1128720042 is an abundant number, since it is smaller than the sum of its proper divisors (1523183958).

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

1128720042 is a wasteful number, since it uses less digits than its factorization.

1128720042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1128720042 is about 33596.4290066668. The cubic root of 1128720042 is about 1041.1870205227.

Adding to 1128720042 its reverse (2400278211), we get a palindrome (3528998253).

It can be divided in two parts, 11287 and 20042, that added together give a square (31329 = 1772).

The spelling of 1128720042 in words is "one billion, one hundred twenty-eight million, seven hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 239 342 478 513 717 1026 1434 2151 4302 4541 4603 6453 9082 9206 12906 13623 13809 27246 27618 40869 41427 81738 82854 87457 122607 124281 174914 245214 248562 262371 524742 787113 1100117 1574226 2200234 2361339 3300351 4722678 6600702 9901053 19802106 20902223 29703159 41804446 59406318 62706669 125413338 188120007 376240014 564360021 1128720042