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120870666 = 232719291741
BaseRepresentation
bin1110011010001…
…01011100001010
322102102212101100
413031011130022
5221420330131
615554402230
72665245420
oct715053412
9272385340
10120870666
1162256a14
1234590376
131c070307
14120a5110
15a9287e6
hex734570a

120870666 has 96 divisors (see below), whose sum is σ = 326102400. Its totient is φ = 31570560.

The previous prime is 120870641. The next prime is 120870667. The reversal of 120870666 is 666078021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 120870666.

It is not an unprimeable number, because it can be changed into a prime (120870667) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 68556 + ... + 70296.

It is an arithmetic number, because the mean of its divisors is an integer number (3396900).

Almost surely, 2120870666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120870666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163051200).

120870666 is an abundant number, since it is smaller than the sum of its proper divisors (205231734).

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

120870666 is a wasteful number, since it uses less digits than its factorization.

120870666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 120870666 is about 10994.1196100461. The cubic root of 120870666 is about 494.4324563558.

The spelling of 120870666 in words is "one hundred twenty million, eight hundred seventy thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 29 38 42 57 58 63 87 114 126 133 171 174 203 261 266 342 399 406 522 551 609 798 1102 1197 1218 1653 1741 1827 2394 3306 3482 3654 3857 4959 5223 7714 9918 10446 11571 12187 15669 23142 24374 31338 33079 34713 36561 50489 66158 69426 73122 99237 100978 109683 151467 198474 219366 231553 297711 302934 353423 454401 463106 595422 694659 706846 908802 959291 1060269 1389318 1918582 2083977 2120538 2877873 3180807 4167954 5755746 6361614 6715037 8633619 13430074 17267238 20145111 40290222 60435333 120870666