Search a number
-
+
120100064 = 2571928219
BaseRepresentation
bin1110010100010…
…01010011100000
322100222201022112
413022021103200
5221221200224
615530054452
72655555650
oct712112340
9270881275
10120100064
116187aa57
123427a428
131bb60636
1411d44360
15a82530e
hex72894e0

120100064 has 48 divisors (see below), whose sum is σ = 284457600. Its totient is φ = 48760704.

The previous prime is 120100061. The next prime is 120100069. The reversal of 120100064 is 460001021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9854 + ... + 18365.

It is an arithmetic number, because the mean of its divisors is an integer number (5926200).

Almost surely, 2120100064 is an apocalyptic number.

120100064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

120100064 is an abundant number, since it is smaller than the sum of its proper divisors (164357536).

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

120100064 is a wasteful number, since it uses less digits than its factorization.

120100064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28255 (or 28247 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 120100064 is about 10959.0174742082. The cubic root of 120100064 is about 493.3794762456.

Adding to 120100064 its reverse (460001021), we get a palindrome (580101085).

The spelling of 120100064 in words is "one hundred twenty million, one hundred thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 28219 56438 112876 197533 225752 395066 451504 536161 790132 903008 1072322 1580264 2144644 3160528 3753127 4289288 6321056 7506254 8578576 15012508 17157152 30025016 60050032 120100064