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120102432 = 2533140357
BaseRepresentation
bin1110010100010…
…01111000100000
322100222211120020
413022021320200
5221221234212
615530113440
72655565602
oct712117040
9270884506
10120102432
116188180a
123427b880
131bb61738
1411d45172
15a825d8c
hex7289e20

120102432 has 48 divisors (see below), whose sum is σ = 325446912. Its totient is φ = 38741760.

The previous prime is 120102431. The next prime is 120102449. The reversal of 120102432 is 234201021.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (120102431) 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, 17203 + ... + 23154.

It is an arithmetic number, because the mean of its divisors is an integer number (6780144).

Almost surely, 2120102432 is an apocalyptic number.

120102432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120102432 is an abundant number, since it is smaller than the sum of its proper divisors (205344480).

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

120102432 is a wasteful number, since it uses less digits than its factorization.

120102432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40401 (or 40393 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 120102432 is about 10959.1255125580. The cubic root of 120102432 is about 493.3827188609.

Adding to 120102432 its reverse (234201021), we get a palindrome (354303453).

The spelling of 120102432 in words is "one hundred twenty million, one hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 40357 80714 121071 161428 242142 322856 484284 645712 968568 1251067 1291424 1937136 2502134 3753201 3874272 5004268 7506402 10008536 15012804 20017072 30025608 40034144 60051216 120102432