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875940 = 2235131123
BaseRepresentation
bin11010101110110100100
31122111120020
43111312210
5211012230
630435140
710305522
oct3256644
91574506
10875940
1154911a
12362ab0
13248910
1418b312
15124810
hexd5da4

875940 has 48 divisors (see below), whose sum is σ = 2643648. Its totient is φ = 215424.

The previous prime is 875933. The next prime is 875947. The reversal of 875940 is 49578.

It is an interprime number because it is at equal distance from previous prime (875933) and next prime (875947).

It is not an unprimeable number, because it can be changed into a prime (875947) by changing a digit.

875940 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 219 + ... + 1341.

It is an arithmetic number, because the mean of its divisors is an integer number (55076).

2875940 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 875940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321824).

875940 is an abundant number, since it is smaller than the sum of its proper divisors (1767708).

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

875940 is a wasteful number, since it uses less digits than its factorization.

875940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 875940 is about 935.9166629567. The cubic root of 875940 is about 95.6807974583.

The spelling of 875940 in words is "eight hundred seventy-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1123 2246 3369 4492 5615 6738 11230 13476 14599 16845 22460 29198 33690 43797 58396 67380 72995 87594 145990 175188 218985 291980 437970 875940