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117090900 = 223352172551
BaseRepresentation
bin1101111101010…
…10101001010100
322011022211112000
412332222221110
5214433402100
615341355300
72621153613
oct676525124
9264284460
10117090900
1160105143
1233268b30
131b348a74
141179d87a
15a42d900
hex6faaa54

117090900 has 144 divisors (see below), whose sum is σ = 398724480. Its totient is φ = 29376000.

The previous prime is 117090889. The next prime is 117090923. The reversal of 117090900 is 9090711.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44625 + ... + 47175.

It is an arithmetic number, because the mean of its divisors is an integer number (2768920).

Almost surely, 2117090900 is an apocalyptic number.

117090900 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 117090900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199362240).

117090900 is an abundant number, since it is smaller than the sum of its proper divisors (281633580).

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

117090900 is a wasteful number, since it uses less digits than its factorization.

117090900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 27.

The square root of 117090900 is about 10820.8548645659. The cubic root of 117090900 is about 489.2239555285.

The spelling of 117090900 in words is "one hundred seventeen million, ninety thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 85 90 100 102 108 135 150 153 170 180 204 225 255 270 300 306 340 425 450 459 510 540 612 675 765 850 900 918 1020 1275 1350 1530 1700 1836 2295 2550 2551 2700 3060 3825 4590 5100 5102 7650 7653 9180 10204 11475 12755 15300 15306 22950 22959 25510 30612 38265 43367 45900 45918 51020 63775 68877 76530 86734 91836 114795 127550 130101 137754 153060 173468 191325 216835 229590 255100 260202 275508 344385 382650 390303 433670 459180 520404 573975 650505 688770 765300 780606 867340 1084175 1147950 1170909 1301010 1377540 1561212 1721925 1951515 2168350 2295900 2341818 2602020 3252525 3443850 3903030 4336700 4683636 5854545 6505050 6887700 7806060 9757575 11709090 13010100 19515150 23418180 29272725 39030300 58545450 117090900