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117066620 = 225112959311
BaseRepresentation
bin1101111101001…
…00101101111100
322011021121012202
412332210231330
5214432112440
615341051032
72621023046
oct676445574
9264247182
10117066620
1160098980
1233256a78
131b33a9b8
1411794a96
15a426615
hex6fa4b7c

117066620 has 96 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 40275200.

The previous prime is 117066617. The next prime is 117066623. The reversal of 117066620 is 26660711.

It is an interprime number because it is at equal distance from previous prime (117066617) and next prime (117066623).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117066623) 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 31 ways as a sum of consecutive naturals, for example, 376265 + ... + 376575.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2117066620 is an apocalyptic number.

117066620 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 117066620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

117066620 is an abundant number, since it is smaller than the sum of its proper divisors (165979780).

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

117066620 is a wasteful number, since it uses less digits than its factorization.

117066620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 117066620 is about 10819.7328987365. The cubic root of 117066620 is about 489.1901379880.

The spelling of 117066620 in words is "one hundred seventeen million, sixty-six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 59 110 116 118 145 220 236 290 295 311 319 580 590 622 638 649 1180 1244 1276 1298 1555 1595 1711 2596 3110 3190 3245 3421 3422 6220 6380 6490 6842 6844 8555 9019 12980 13684 17105 17110 18038 18349 18821 34210 34220 36076 36698 37642 45095 68420 73396 75284 90190 91745 94105 99209 180380 183490 188210 198418 201839 366980 376420 396836 403678 496045 532121 807356 992090 1009195 1064242 1984180 2018390 2128484 2660605 4036780 5321210 5853331 10642420 11706662 23413324 29266655 58533310 117066620