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120067552 = 2511347983
BaseRepresentation
bin1110010100000…
…01010111100000
322100221001201101
413022001113200
5221214130202
615525244144
72655362113
oct712012740
9270831641
10120067552
1161858590
1234263654
131bb4b8b7
1411d3657a
15a81a887
hex72815e0

120067552 has 48 divisors (see below), whose sum is σ = 258878592. Its totient is φ = 54363520.

The previous prime is 120067543. The next prime is 120067559. The reversal of 120067552 is 255760021.

It is a self number, because there is not a number n which added to its sum of digits gives 120067552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120067559) 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, 121653 + ... + 122635.

It is an arithmetic number, because the mean of its divisors is an integer number (5393304).

Almost surely, 2120067552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120067552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129439296).

120067552 is an abundant number, since it is smaller than the sum of its proper divisors (138811040).

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

120067552 is a wasteful number, since it uses less digits than its factorization.

120067552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 120067552 is about 10957.5340291509. The cubic root of 120067552 is about 493.3349517032.

The spelling of 120067552 in words is "one hundred twenty million, sixty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 347 352 694 983 1388 1966 2776 3817 3932 5552 7634 7864 10813 11104 15268 15728 21626 30536 31456 43252 61072 86504 122144 173008 341101 346016 682202 1364404 2728808 3752111 5457616 7504222 10915232 15008444 30016888 60033776 120067552