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120687164 = 2213192347113
BaseRepresentation
bin1110011000110…
…00101000111100
322102002112122222
413030120220330
5221343442124
615550424512
72663552423
oct714305074
9272075588
10120687164
1162141064
1234502138
131c007930
14120582ba
15a8de25e
hex7318a3c

120687164 has 96 divisors (see below), whose sum is σ = 257402880. Its totient is φ = 48964608.

The previous prime is 120687157. The next prime is 120687173. The reversal of 120687164 is 461786021.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1067972 + ... + 1068084.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2120687164 is an apocalyptic number.

It is an amenable number.

120687164 is an abundant number, since it is smaller than the sum of its proper divisors (136715716).

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

120687164 is a wasteful number, since it uses less digits than its factorization.

120687164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 120687164 is about 10985.7709788617. The cubic root of 120687164 is about 494.1821190862.

The spelling of 120687164 in words is "one hundred twenty million, six hundred eighty-seven thousand, one hundred sixty-four".

Divisors: 1 2 4 13 19 23 26 38 46 47 52 76 92 94 113 188 226 247 299 437 452 494 598 611 874 893 988 1081 1196 1222 1469 1748 1786 2147 2162 2444 2599 2938 3572 4294 4324 5198 5311 5681 5876 8588 10396 10622 11362 11609 14053 20539 21244 22724 23218 27911 28106 33787 41078 46436 49381 55822 56212 67574 69043 82156 98762 100909 111644 122153 135148 138086 197524 201818 244306 267007 276172 403636 488612 534014 641953 1068028 1283906 1311817 1587989 2320907 2567812 2623634 3175978 4641814 5247268 6351956 9283628 30171791 60343582 120687164