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2026920 = 2335719127
BaseRepresentation
bin111101110110110101000
310210222102010
413232312220
51004330140
6111235520
723141250
oct7566650
93728363
102026920
111164945
12818ba0
1355c77c
143aa960
152a0880
hex1eeda8

2026920 has 128 divisors (see below), whose sum is σ = 7372800. Its totient is φ = 435456.

The previous prime is 2026919. The next prime is 2026931. The reversal of 2026920 is 296202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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, 15897 + ... + 16023.

It is an arithmetic number, because the mean of its divisors is an integer number (57600).

22026920 is an apocalyptic number.

2026920 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 2026920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686400).

2026920 is an abundant number, since it is smaller than the sum of its proper divisors (5345880).

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

2026920 is a wasteful number, since it uses less digits than its factorization.

2026920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2026920 is about 1423.6994064760. The cubic root of 2026920 is about 126.5548721207.

The spelling of 2026920 in words is "two million, twenty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 127 133 140 152 168 190 210 228 254 266 280 285 380 381 399 420 456 508 532 570 635 665 760 762 798 840 889 1016 1064 1140 1270 1330 1524 1596 1778 1905 1995 2280 2413 2540 2660 2667 3048 3192 3556 3810 3990 4445 4826 5080 5320 5334 7112 7239 7620 7980 8890 9652 10668 12065 13335 14478 15240 15960 16891 17780 19304 21336 24130 26670 28956 33782 35560 36195 48260 50673 53340 57912 67564 72390 84455 96520 101346 106680 135128 144780 168910 202692 253365 289560 337820 405384 506730 675640 1013460 2026920