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1117207000 = 235371312277
BaseRepresentation
bin100001010010111…
…0011100111011000
32212212012222220001
41002211303213120
54242001111000
6302505342344
736454050160
oct10245634730
92785188801
101117207000
115236a8178
122721979b4
1314a5c6a40
14a853b5a0
156813446a
hex429739d8

1117207000 has 128 divisors (see below), whose sum is σ = 3217818240. Its totient is φ = 353548800.

The previous prime is 1117206947. The next prime is 1117207027. The reversal of 1117207000 is 7027111.

It is a super-3 number, since 3×11172070003 (a number of 28 digits) contains 333 as substring.

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, 84862 + ... + 97138.

It is an arithmetic number, because the mean of its divisors is an integer number (25139205).

Almost surely, 21117207000 is an apocalyptic number.

1117207000 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 1117207000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608909120).

1117207000 is an abundant number, since it is smaller than the sum of its proper divisors (2100611240).

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

1117207000 is a wasteful number, since it uses less digits than its factorization.

1117207000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12318 (or 12304 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 19.

The square root of 1117207000 is about 33424.6465949904. The cubic root of 1117207000 is about 1037.6348496516.

The spelling of 1117207000 in words is "one billion, one hundred seventeen million, two hundred seven thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 12277 13000 18200 22750 24554 45500 49108 61385 85939 91000 98216 122770 159601 171878 245540 306925 319202 343756 429695 491080 613850 638404 687512 798005 859390 1117207 1227700 1276808 1534625 1596010 1718780 2148475 2234414 2455400 3069250 3192020 3437560 3990025 4296950 4468828 5586035 6138500 6384040 7980050 8593900 8937656 10742375 11172070 12277000 15960100 17187800 19950125 21484750 22344140 27930175 31920200 39900250 42969500 44688280 55860350 79800500 85939000 111720700 139650875 159601000 223441400 279301750 558603500 1117207000