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120516648 = 23374715263
BaseRepresentation
bin1110010111011…
…11000000101000
322101202212202120
413023233000220
5221323013043
615543031240
72662242330
oct713570050
9271685676
10120516648
1162034a3a
123443b520
131bc78135
14120120c0
15a8a8983
hex72ef028

120516648 has 64 divisors (see below), whose sum is σ = 351682560. Its totient is φ = 33698496.

The previous prime is 120516637. The next prime is 120516653. The reversal of 120516648 is 846615021.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 265 + ... + 15527.

It is an arithmetic number, because the mean of its divisors is an integer number (5495040).

Almost surely, 2120516648 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 120516648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175841280).

120516648 is an abundant number, since it is smaller than the sum of its proper divisors (231165912).

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

120516648 is a wasteful number, since it uses less digits than its factorization.

120516648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15326 (or 15322 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 120516648 is about 10978.0074694819. The cubic root of 120516648 is about 493.9492700341.

The spelling of 120516648 in words is "one hundred twenty million, five hundred sixteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2632 3948 7896 15263 30526 45789 61052 91578 106841 122104 183156 213682 320523 366312 427364 641046 717361 854728 1282092 1434722 2152083 2564184 2869444 4304166 5021527 5738888 8608332 10043054 15064581 17216664 20086108 30129162 40172216 60258324 120516648