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120105552 = 2437379661
BaseRepresentation
bin1110010100010…
…10101001010000
322100222222211210
413022022221100
5221221334202
615530140120
72655610650
oct712125120
9270888753
10120105552
1161884096
1234281640
131bb62c98
1411d46360
15a826c6c
hex728aa50

120105552 has 80 divisors (see below), whose sum is σ = 364218752. Its totient is φ = 33384960.

The previous prime is 120105547. The next prime is 120105611. The reversal of 120105552 is 255501021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7602 + ... + 17262.

Almost surely, 2120105552 is an apocalyptic number.

120105552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120105552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182109376).

120105552 is an abundant number, since it is smaller than the sum of its proper divisors (244113200).

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

120105552 is a wasteful number, since it uses less digits than its factorization.

120105552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9716 (or 9710 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 120105552 is about 10959.2678587577. The cubic root of 120105552 is about 493.3869911606.

Adding to 120105552 its reverse (255501021), we get a palindrome (375606573).

The spelling of 120105552 in words is "one hundred twenty million, one hundred five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 4144 6216 9661 12432 19322 28983 38644 57966 67627 77288 115932 135254 154576 202881 231864 270508 357457 405762 463728 541016 714914 811524 1072371 1082032 1429828 1623048 2144742 2502199 2859656 3246096 4289484 5004398 5719312 7506597 8578968 10008796 15013194 17157936 20017592 30026388 40035184 60052776 120105552