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2125340 = 2257171947
BaseRepresentation
bin1000000110111000011100
310222222102022
420012320130
51021002330
6113315312
724031220
oct10067034
93888368
102125340
111221888
12865b38
135954c9
143d4780
152beae5
hex206e1c

2125340 has 96 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 635904.

The previous prime is 2125339. The next prime is 2125373. The reversal of 2125340 is 435212.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45197 + ... + 45243.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

22125340 is an apocalyptic number.

2125340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2125340 is an abundant number, since it is smaller than the sum of its proper divisors (3680740).

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

2125340 is a wasteful number, since it uses less digits than its factorization.

2125340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2125340 is about 1457.8545880848. The cubic root of 2125340 is about 128.5709359182.

It can be divided in two parts, 2125 and 340, that multiplied together give a square (722500 = 8502).

The spelling of 2125340 in words is "two million, one hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 19 20 28 34 35 38 47 68 70 76 85 94 95 119 133 140 170 188 190 235 238 266 323 329 340 380 470 476 532 595 646 658 665 799 893 940 1190 1292 1316 1330 1598 1615 1645 1786 2261 2380 2660 3196 3230 3290 3572 3995 4465 4522 5593 6251 6460 6580 7990 8930 9044 11186 11305 12502 15181 15980 17860 22372 22610 25004 27965 30362 31255 45220 55930 60724 62510 75905 106267 111860 125020 151810 212534 303620 425068 531335 1062670 2125340