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117001780 = 22578310069
BaseRepresentation
bin1101111100101…
…00111000110100
322011011022021021
412332110320310
5214423024110
615335430524
72620333030
oct676247064
9264138237
10117001780
1160054195
1233225444
131b31732c
14117791c0
15a4122da
hex6f94e34

117001780 has 48 divisors (see below), whose sum is σ = 284215680. Its totient is φ = 39627648.

The previous prime is 117001771. The next prime is 117001789. The reversal of 117001780 is 87100711.

It is an interprime number because it is at equal distance from previous prime (117001771) and next prime (117001789).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117001789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6586 + ... + 16654.

It is an arithmetic number, because the mean of its divisors is an integer number (5921160).

Almost surely, 2117001780 is an apocalyptic number.

117001780 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 117001780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142107840).

117001780 is an abundant number, since it is smaller than the sum of its proper divisors (167213900).

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

117001780 is a wasteful number, since it uses less digits than its factorization.

117001780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10168 (or 10166 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 25.

The square root of 117001780 is about 10816.7361066081. The cubic root of 117001780 is about 489.0998049609.

The spelling of 117001780 in words is "one hundred seventeen million, one thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1660 2324 2905 5810 10069 11620 20138 40276 50345 70483 100690 140966 201380 281932 352415 704830 835727 1409660 1671454 3342908 4178635 5850089 8357270 11700178 16714540 23400356 29250445 58500890 117001780