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120632141 = 7291933079
BaseRepresentation
bin1110011000010…
…11001101001101
322101222202012002
413030023031031
5221340212031
615545322045
72663233130
oct714131515
9271882162
10120632141
1162103793
1234496325
131bcb8886
1412042217
15a8ccccb
hex730b34d

120632141 has 16 divisors (see below), whose sum is σ = 143404800. Its totient is φ = 99283968.

The previous prime is 120632137. The next prime is 120632189. The reversal of 120632141 is 141236021.

It is not a de Polignac number, because 120632141 - 22 = 120632137 is a prime.

It is a super-2 number, since 2×1206321412 = 29104226884487762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120632101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37640 + ... + 40718.

It is an arithmetic number, because the mean of its divisors is an integer number (8962800).

Almost surely, 2120632141 is an apocalyptic number.

It is an amenable number.

120632141 is a deficient number, since it is larger than the sum of its proper divisors (22772659).

120632141 is a wasteful number, since it uses less digits than its factorization.

120632141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3308.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 120632141 is about 10983.2664084962. The cubic root of 120632141 is about 494.1070061103.

Adding to 120632141 its reverse (141236021), we get a palindrome (261868162).

The spelling of 120632141 in words is "one hundred twenty million, six hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 7 29 193 203 1351 3079 5597 21553 39179 89291 594247 625037 4159729 17233163 120632141