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120410052 = 22372474357
BaseRepresentation
bin1110010110101…
…00111111000100
322101120110112120
413023110333010
5221311110202
615540445540
72661316500
oct713247704
9271513476
10120410052
1161a71944
12343a98b0
131bc3b769
1411dc5300
15a8870bc
hex72d4fc4

120410052 has 72 divisors (see below), whose sum is σ = 333857664. Its totient is φ = 33663168.

The previous prime is 120410047. The next prime is 120410053. The reversal of 120410052 is 250014021.

It is not an unprimeable number, because it can be changed into a prime (120410053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25458 + ... + 29814.

It is an arithmetic number, because the mean of its divisors is an integer number (4636912).

Almost surely, 2120410052 is an apocalyptic number.

120410052 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 120410052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166928832).

120410052 is an abundant number, since it is smaller than the sum of its proper divisors (213447612).

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

120410052 is a wasteful number, since it uses less digits than its factorization.

120410052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 120410052 is about 10973.1514160700. The cubic root of 120410052 is about 493.8035956989.

Adding to 120410052 its reverse (250014021), we get a palindrome (370424073).

The spelling of 120410052 in words is "one hundred twenty million, four hundred ten thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 84 94 98 141 147 188 196 282 294 329 564 588 658 987 1316 1974 2303 3948 4357 4606 6909 8714 9212 13071 13818 17428 26142 27636 30499 52284 60998 91497 121996 182994 204779 213493 365988 409558 426986 614337 640479 819116 853972 1228674 1280958 1433453 2457348 2561916 2866906 4300359 5733812 8600718 10034171 17201436 20068342 30102513 40136684 60205026 120410052