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117005320 = 2356179607
BaseRepresentation
bin1101111100101…
…01110000001000
322011011111010101
412332111300020
5214423132240
615335455144
72620346245
oct676256010
9264144111
10117005320
1160056913
12332274b4
131b318b23
141177a5cc
15a41339a
hex6f95c08

117005320 has 64 divisors (see below), whose sum is σ = 271411200. Its totient is φ = 45377280.

The previous prime is 117005311. The next prime is 117005327. The reversal of 117005320 is 23500711.

It is not an unprimeable number, because it can be changed into a prime (117005327) by changing a digit.

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, 192457 + ... + 193063.

It is an arithmetic number, because the mean of its divisors is an integer number (4240800).

Almost surely, 2117005320 is an apocalyptic number.

117005320 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 117005320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135705600).

117005320 is an abundant number, since it is smaller than the sum of its proper divisors (154405880).

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

117005320 is a wasteful number, since it uses less digits than its factorization.

117005320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 117005320 is about 10816.8997406836. The cubic root of 117005320 is about 489.1047376376.

It can be divided in two parts, 11700 and 5320, that added together give a triangular number (17020 = T184).

The spelling of 117005320 in words is "one hundred seventeen million, five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 79 122 158 244 305 316 395 488 607 610 632 790 1214 1220 1580 2428 2440 3035 3160 4819 4856 6070 9638 12140 19276 24095 24280 37027 38552 47953 48190 74054 95906 96380 148108 185135 191812 192760 239765 296216 370270 383624 479530 740540 959060 1481080 1918120 2925133 5850266 11700532 14625665 23401064 29251330 58502660 117005320