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2075190 = 2351317313
BaseRepresentation
bin111111010101000110110
310220102121220
413322220312
51012401230
6112251210
723432055
oct7725066
93812556
102075190
111198137
12840b06
13578730
143c039c
152aed10
hex1faa36

2075190 has 64 divisors (see below), whose sum is σ = 5697216. Its totient is φ = 479232.

The previous prime is 2075189. The next prime is 2075197. The reversal of 2075190 is 915702.

It is a super-2 number, since 2×20751902 = 8612827072200, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2075190.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2075197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6474 + ... + 6786.

It is an arithmetic number, because the mean of its divisors is an integer number (89019).

22075190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2075190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848608).

2075190 is an abundant number, since it is smaller than the sum of its proper divisors (3622026).

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

2075190 is a wasteful number, since it uses less digits than its factorization.

2075190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 2075190 is about 1440.5519775419. The cubic root of 2075190 is about 127.5516130907.

The spelling of 2075190 in words is "two million, seventy-five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 313 390 442 510 626 663 939 1105 1326 1565 1878 2210 3130 3315 4069 4695 5321 6630 8138 9390 10642 12207 15963 20345 24414 26605 31926 40690 53210 61035 69173 79815 122070 138346 159630 207519 345865 415038 691730 1037595 2075190