Search a number
-
+
120297024 = 26324572
BaseRepresentation
bin1110010101110…
…01011001000000
322101100201111100
413022321121000
5221244001044
615534214400
72660336121
oct712713100
9271321440
10120297024
11619a4a31
1234354400
131bbcc193
1411d96048
15a863869
hex72b9640

120297024 has 63 divisors (see below), whose sum is σ = 345565857. Its totient is φ = 40011264.

The previous prime is 120297007. The next prime is 120297031. The reversal of 120297024 is 420792021.

The square root of 120297024 is 10968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 104040000 + 16257024 = 10200^2 + 4032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 263004 + ... + 263460.

Almost surely, 2120297024 is an apocalyptic number.

120297024 is the 10968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120297024

120297024 is an abundant number, since it is smaller than the sum of its proper divisors (225268833).

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

120297024 is an frugal number, since it uses more digits than its factorization.

120297024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The cubic root of 120297024 is about 493.6490374348.

The spelling of 120297024 in words is "one hundred twenty million, two hundred ninety-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 457 576 914 1371 1828 2742 3656 4113 5484 7312 8226 10968 14624 16452 21936 29248 32904 43872 65808 87744 131616 208849 263232 417698 626547 835396 1253094 1670792 1879641 2506188 3341584 3759282 5012376 6683168 7518564 10024752 13366336 15037128 20049504 30074256 40099008 60148512 120297024