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120166146 = 23319173677
BaseRepresentation
bin1110010100110…
…01011100000010
322101010001222000
413022121130002
5221230304041
615531324430
72656252422
oct712313402
9271101860
10120166146
1161915671
12342b0716
131bb84739
1411d60482
15a839bb6
hex7299702

120166146 has 64 divisors (see below), whose sum is σ = 283132800. Its totient is φ = 37672128.

The previous prime is 120166139. The next prime is 120166159. The reversal of 120166146 is 641661021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177160 + ... + 177836.

It is an arithmetic number, because the mean of its divisors is an integer number (4423950).

Almost surely, 2120166146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120166146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141566400).

120166146 is an abundant number, since it is smaller than the sum of its proper divisors (162966654).

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

120166146 is a wasteful number, since it uses less digits than its factorization.

120166146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 120166146 is about 10962.0320196577. The cubic root of 120166146 is about 493.4699494825.

The spelling of 120166146 in words is "one hundred twenty million, one hundred sixty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 173 342 346 513 519 677 1026 1038 1354 1557 2031 3114 3287 4062 4671 6093 6574 9342 9861 12186 12863 18279 19722 25726 29583 36558 38589 59166 77178 88749 115767 117121 177498 231534 234242 347301 351363 694602 702726 1054089 2108178 2225299 3162267 4450598 6324534 6675897 13351794 20027691 40055382 60083073 120166146