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120006660 = 223519105269
BaseRepresentation
bin1110010011100…
…10100000000100
322100210222012010
413021302200010
5221210203120
615524054220
72655016434
oct711624004
9270728163
10120006660
1161816864
1234234370
131bb29c77
1411d1c2c4
15a8077e0
hex7272804

120006660 has 48 divisors (see below), whose sum is σ = 353707200. Its totient is φ = 30317184.

The previous prime is 120006643. The next prime is 120006697. The reversal of 120006660 is 66600021.

120006660 is a modest number, since divided by 6660 gives 120 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51495 + ... + 53774.

It is an arithmetic number, because the mean of its divisors is an integer number (7368900).

Almost surely, 2120006660 is an apocalyptic number.

120006660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120006660 is an abundant number, since it is smaller than the sum of its proper divisors (233700540).

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

120006660 is a wasteful number, since it uses less digits than its factorization.

120006660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105300 (or 105298 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 120006660 is about 10954.7551319050. The cubic root of 120006660 is about 493.2515396820.

Adding to 120006660 its reverse (66600021), we get a palindrome (186606681).

The spelling of 120006660 in words is "one hundred twenty million, six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 105269 210538 315807 421076 526345 631614 1052690 1263228 1579035 2000111 2105380 3158070 4000222 6000333 6316140 8000444 10000555 12000666 20001110 24001332 30001665 40002220 60003330 120006660