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1120834140 = 2235173135447
BaseRepresentation
bin100001011001110…
…1001001001011100
32220010001021101120
41002303221021130
54243413143030
6303115210540
736526635006
oct10263511134
92803037346
101120834140
11525755308
12273446a50
1314b29698a
14a8c03376
15685ee010
hex42ce925c

1120834140 has 96 divisors (see below), whose sum is σ = 3430232064. Its totient is φ = 272225280.

The previous prime is 1120834037. The next prime is 1120834163. The reversal of 1120834140 is 414380211.

It is a self number, because there is not a number n which added to its sum of digits gives 1120834140.

It is a congruent number.

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, 13897 + ... + 49343.

It is an arithmetic number, because the mean of its divisors is an integer number (35731584).

Almost surely, 21120834140 is an apocalyptic number.

1120834140 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 1120834140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715116032).

1120834140 is an abundant number, since it is smaller than the sum of its proper divisors (2309397924).

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

1120834140 is a wasteful number, since it uses less digits than its factorization.

1120834140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35507 (or 35505 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1120834140 is about 33478.8610917397. The cubic root of 1120834140 is about 1038.7565699066.

The spelling of 1120834140 in words is "one billion, one hundred twenty million, eight hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 930 1020 1054 1581 1860 2108 2635 3162 5270 6324 7905 10540 15810 31620 35447 70894 106341 141788 177235 212682 354470 425364 531705 602599 708940 1063410 1098857 1205198 1807797 2126820 2197714 2410396 3012995 3296571 3615594 4395428 5494285 6025990 6593142 7231188 9038985 10988570 12051980 13186284 16482855 18077970 18680569 21977140 32965710 36155940 37361138 56041707 65931420 74722276 93402845 112083414 186805690 224166828 280208535 373611380 560417070 1120834140