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120488384 = 2617591877
BaseRepresentation
bin1110010111010…
…00000111000000
322101201102222202
413023220013000
5221321112014
615542252332
72662064042
oct713500700
9271642882
10120488384
1162015785
12344270a8
131bc68303
1412005a92
15a8a03de
hex72e81c0

120488384 has 56 divisors (see below), whose sum is σ = 257586480. Its totient is φ = 55709696.

The previous prime is 120488383. The next prime is 120488387. The reversal of 120488384 is 483884021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120488383) 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, 63254 + ... + 65130.

Almost surely, 2120488384 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 120488384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128793240).

120488384 is an abundant number, since it is smaller than the sum of its proper divisors (137098096).

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

120488384 is a wasteful number, since it uses less digits than its factorization.

120488384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 120488384 is about 10976.7200929968. The cubic root of 120488384 is about 493.9106527589.

The spelling of 120488384 in words is "one hundred twenty million, four hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 59 64 68 118 136 236 272 472 544 944 1003 1088 1877 1888 2006 3754 3776 4012 7508 8024 15016 16048 30032 31909 32096 60064 63818 64192 110743 120128 127636 221486 255272 442972 510544 885944 1021088 1771888 1882631 2042176 3543776 3765262 7087552 7530524 15061048 30122096 60244192 120488384