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117380175 = 35211791801
BaseRepresentation
bin1101111111100…
…01010001001111
322011212112022220
412333301101033
5220022131200
615351510423
72623500153
oct677612117
9264775286
10117380175
1160292510
1233388413
131b41a633
1411837063
15a4894a0
hex6ff144f

117380175 has 48 divisors (see below), whose sum is σ = 214510080. Its totient is φ = 56160000.

The previous prime is 117380173. The next prime is 117380191. The reversal of 117380175 is 571083711.

It is not a de Polignac number, because 117380175 - 21 = 117380173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117380173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64275 + ... + 66075.

It is an arithmetic number, because the mean of its divisors is an integer number (4468960).

Almost surely, 2117380175 is an apocalyptic number.

117380175 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

117380175 is a deficient number, since it is larger than the sum of its proper divisors (97129905).

117380175 is a wasteful number, since it uses less digits than its factorization.

117380175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 33.

The square root of 117380175 is about 10834.2131694000. The cubic root of 117380175 is about 489.6265028279.

The spelling of 117380175 in words is "one hundred seventeen million, three hundred eighty thousand, one hundred seventy-five".

Divisors: 1 3 5 11 15 25 33 55 75 79 165 237 275 395 825 869 1185 1801 1975 2607 4345 5403 5925 9005 13035 19811 21725 27015 45025 59433 65175 99055 135075 142279 297165 426837 495275 711395 1485825 1565069 2134185 3556975 4695207 7825345 10670925 23476035 39126725 117380175