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2075136 = 2937193
BaseRepresentation
bin111111010101000000000
310220102112220
413322220000
51012401021
6112251040
723431650
oct7725000
93812486
102075136
111198098
12840a80
135786bb
143c0360
152aecc6
hex1faa00

2075136 has 80 divisors (see below), whose sum is σ = 6350784. Its totient is φ = 589824.

The previous prime is 2075111. The next prime is 2075149. The reversal of 2075136 is 6315702.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10656 + ... + 10848.

22075136 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 2075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175392).

2075136 is an abundant number, since it is smaller than the sum of its proper divisors (4275648).

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

2075136 is an equidigital number, since it uses as much as digits as its factorization.

2075136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 2075136 is about 1440.5332346045. The cubic root of 2075136 is about 127.5505067106.

It can be divided in two parts, 2075 and 136, that added together give a triangular number (2211 = T66).

The spelling of 2075136 in words is "two million, seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 193 224 256 336 384 386 448 512 579 672 768 772 896 1158 1344 1351 1536 1544 1792 2316 2688 2702 3088 3584 4053 4632 5376 5404 6176 8106 9264 10752 10808 12352 16212 18528 21616 24704 32424 37056 43232 49408 64848 74112 86464 98816 129696 148224 172928 259392 296448 345856 518784 691712 1037568 2075136