Search a number
-
+
112082157 = 33112391579
BaseRepresentation
bin1101010111000…
…11110011101101
321210220100211000
412223203303231
5212143112112
615042150513
72530453065
oct653436355
9253810730
10112082157
11582a3a90
1231652439
131a2b4005
1410c583a5
159c8e7dc
hex6ae3ced

112082157 has 32 divisors (see below), whose sum is σ = 182016000. Its totient is φ = 67601520.

The previous prime is 112082149. The next prime is 112082171. The reversal of 112082157 is 751280211.

It is not a de Polignac number, because 112082157 - 23 = 112082149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 112082157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112082107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70194 + ... + 71772.

It is an arithmetic number, because the mean of its divisors is an integer number (5688000).

Almost surely, 2112082157 is an apocalyptic number.

It is an amenable number.

112082157 is a deficient number, since it is larger than the sum of its proper divisors (69933843).

112082157 is a wasteful number, since it uses less digits than its factorization.

112082157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 112082157 is about 10586.8860860973. The cubic root of 112082157 is about 482.1462871573.

The spelling of 112082157 in words is "one hundred twelve million, eighty-two thousand, one hundred fifty-seven".

Divisors: 1 3 9 11 27 33 99 239 297 717 1579 2151 2629 4737 6453 7887 14211 17369 23661 42633 52107 70983 156321 377381 468963 1132143 3396429 4151191 10189287 12453573 37360719 112082157