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2112390 = 232572479
BaseRepresentation
bin1000000011101110000110
310222022122200
420003232012
51020044030
6113135330
723645400
oct10035606
93868580
102112390
111213085
1285a546
1358c647
143cdb70
152bad60
hex203b86

2112390 has 72 divisors (see below), whose sum is σ = 6402240. Its totient is φ = 481824.

The previous prime is 2112353. The next prime is 2112413. The reversal of 2112390 is 932112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4171 + ... + 4649.

It is an arithmetic number, because the mean of its divisors is an integer number (88920).

22112390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201120).

2112390 is an abundant number, since it is smaller than the sum of its proper divisors (4289850).

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

2112390 is a wasteful number, since it uses less digits than its factorization.

2112390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2112390 is about 1453.4063437319. The cubic root of 2112390 is about 128.3092700521.

It can be divided in two parts, 211 and 2390, that added together give a square (2601 = 512).

The spelling of 2112390 in words is "two million, one hundred twelve thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 479 490 630 735 882 958 1437 1470 2205 2395 2874 3353 4311 4410 4790 6706 7185 8622 10059 14370 16765 20118 21555 23471 30177 33530 43110 46942 50295 60354 70413 100590 117355 140826 150885 211239 234710 301770 352065 422478 704130 1056195 2112390