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120048864 = 253132931107
BaseRepresentation
bin1110010011111…
…00110011100000
322100220010002020
413021330303200
5221213030424
615525021440
72655253455
oct711746340
9270803066
10120048864
1161845541
1234254880
131bb43240
1411d2d82c
15a815079
hex727cce0

120048864 has 192 divisors, whose sum is σ = 365783040. Its totient is φ = 34191360.

The previous prime is 120048829. The next prime is 120048871. The reversal of 120048864 is 468840021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1121899 + ... + 1122005.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2120048864 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 120048864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520).

120048864 is an abundant number, since it is smaller than the sum of its proper divisors (245734176).

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

120048864 is a wasteful number, since it uses less digits than its factorization.

120048864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 120048864 is about 10956.6812493565. The cubic root of 120048864 is about 493.3093552180.

Adding to 120048864 its reverse (468840021), we get a palindrome (588888885).

The spelling of 120048864 in words is "one hundred twenty million, forty-eight thousand, eight hundred sixty-four".