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1990440 = 233351997
BaseRepresentation
bin111100101111100101000
310202010101000
413211330220
51002143230
6110355000
722630014
oct7457450
93663330
101990440
11113a4a1
127bba60
13548c9a
1439b544
15294b60
hex1e5f28

1990440 has 128 divisors (see below), whose sum is σ = 7056000. Its totient is φ = 497664.

The previous prime is 1990433. The next prime is 1990441. The reversal of 1990440 is 440991.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1990441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20472 + ... + 20568.

It is an arithmetic number, because the mean of its divisors is an integer number (55125).

21990440 is an apocalyptic number.

1990440 is a gapful number since it is divisible by the number (10) 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 1990440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528000).

1990440 is an abundant number, since it is smaller than the sum of its proper divisors (5065560).

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

1990440 is a wasteful number, since it uses less digits than its factorization.

1990440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1990440 is about 1410.8295432121. The cubic root of 1990440 is about 125.7910368592.

The spelling of 1990440 in words is "one million, nine hundred ninety thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 97 108 114 120 135 152 171 180 190 194 216 228 270 285 291 342 360 380 388 456 485 513 540 570 582 684 760 776 855 873 970 1026 1080 1140 1164 1368 1455 1710 1746 1843 1940 2052 2280 2328 2565 2619 2910 3420 3492 3686 3880 4104 4365 5130 5238 5529 5820 6840 6984 7372 8730 9215 10260 10476 11058 11640 13095 14744 16587 17460 18430 20520 20952 22116 26190 27645 33174 34920 36860 44232 49761 52380 55290 66348 73720 82935 99522 104760 110580 132696 165870 199044 221160 248805 331740 398088 497610 663480 995220 1990440