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117326000 = 2453115333
BaseRepresentation
bin1101111111001…
…00000010110000
322011202210000102
412333210002300
5220013413000
615350411532
72623153211
oct677440260
9264683012
10117326000
1160255840
1233360ba8
131b3cba8c
1411821408
15a4783d5
hex6fe40b0

117326000 has 80 divisors (see below), whose sum is σ = 309542688. Its totient is φ = 42656000.

The previous prime is 117325939. The next prime is 117326039. The reversal of 117326000 is 623711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 19334 + ... + 24666.

Almost surely, 2117326000 is an apocalyptic number.

117326000 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 117326000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154771344).

117326000 is an abundant number, since it is smaller than the sum of its proper divisors (192216688).

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

117326000 is a wasteful number, since it uses less digits than its factorization.

117326000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5367 (or 5351 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 117326000 is about 10831.7126992918. The cubic root of 117326000 is about 489.5511647291.

Adding to 117326000 its reverse (623711), we get a palindrome (117949711).

The spelling of 117326000 in words is "one hundred seventeen million, three hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5333 5500 10666 11000 21332 22000 26665 42664 53330 58663 85328 106660 117326 133325 213320 234652 266650 293315 426640 469304 533300 586630 666625 938608 1066600 1173260 1333250 1466575 2133200 2346520 2666500 2933150 4693040 5333000 5866300 7332875 10666000 11732600 14665750 23465200 29331500 58663000 117326000