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1120070028 = 22372111571103
BaseRepresentation
bin100001011000010…
…1110100110001100
32220001121110020010
41002300232212030
54243214220103
6303050553220
736520303200
oct10260564614
92801543203
101120070028
11525283210
12273138810
1314b089c3c
14a8a84b00
15684ec903
hex42c2e98c

1120070028 has 144 divisors (see below), whose sum is σ = 3340721664. Its totient is φ = 288812160.

The previous prime is 1120070011. The next prime is 1120070047. The reversal of 1120070028 is 8200700211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1120069986 and 1120070013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1014925 + ... + 1016027.

It is an arithmetic number, because the mean of its divisors is an integer number (23199456).

Almost surely, 21120070028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120070028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670360832).

1120070028 is an abundant number, since it is smaller than the sum of its proper divisors (2220651636).

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

1120070028 is a wasteful number, since it uses less digits than its factorization.

1120070028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 1120070028 is about 33467.4472883726. The cubic root of 1120070028 is about 1038.5204639654.

Adding to 1120070028 its reverse (8200700211), we get a palindrome (9320770239).

The spelling of 1120070028 in words is "one billion, one hundred twenty million, seventy thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 157 196 231 294 308 314 462 471 539 588 628 924 942 1078 1099 1103 1617 1727 1884 2156 2198 2206 3234 3297 3309 3454 4396 4412 5181 6468 6594 6618 6908 7693 7721 10362 12089 12133 13188 13236 15386 15442 20724 23079 23163 24178 24266 30772 30884 36267 36399 46158 46326 48356 48532 54047 72534 72798 84623 84931 92316 92652 108094 145068 145596 162141 169246 169862 173171 216188 253869 254793 324282 338492 339724 346342 507738 509586 519513 594517 648564 692684 1015476 1019172 1039026 1189034 1212197 1783551 1904881 2078052 2378068 2424394 3567102 3636591 3809762 4848788 5714643 7134204 7273182 7619524 8485379 11429286 13334167 14546364 16970758 22858572 25456137 26668334 33941516 40002501 50912274 53336668 80005002 93339169 101824548 160010004 186678338 280017507 373356676 560035014 1120070028