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2175138 = 232761283
BaseRepresentation
bin1000010011000010100010
311002111201200
420103002202
51024101023
6114342030
724326340
oct10230242
94074650
102175138
111256239
1288a916
135b2084
14408990
152ce743
hex2130a2

2175138 has 48 divisors (see below), whose sum is σ = 5493696. Its totient is φ = 609120.

The previous prime is 2175127. The next prime is 2175161. The reversal of 2175138 is 8315712.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7545 + ... + 7827.

It is an arithmetic number, because the mean of its divisors is an integer number (114452).

22175138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2175138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746848).

2175138 is an abundant number, since it is smaller than the sum of its proper divisors (3318558).

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

2175138 is a wasteful number, since it uses less digits than its factorization.

2175138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 356 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 2175138 is about 1474.8349060149. The cubic root of 2175138 is about 129.5673586062.

The spelling of 2175138 in words is "two million, one hundred seventy-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 283 366 427 549 566 849 854 1098 1281 1698 1981 2547 2562 3843 3962 5094 5943 7686 11886 17263 17829 34526 35658 51789 103578 120841 155367 241682 310734 362523 725046 1087569 2175138