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1889664 = 27371937
BaseRepresentation
bin111001101010110000000
310120000010120
413031112000
5440432124
6104300240
722030140
oct7152600
93500116
101889664
111080807
12771680
1351215a
14372920
15274d79
hex1cd580

1889664 has 128 divisors (see below), whose sum is σ = 6201600. Its totient is φ = 497664.

The previous prime is 1889653. The next prime is 1889677. The reversal of 1889664 is 4669881.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51054 + ... + 51090.

It is an arithmetic number, because the mean of its divisors is an integer number (48450).

21889664 is an apocalyptic number.

1889664 is a gapful number since it is divisible by the number (14) 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 1889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100800).

1889664 is an abundant number, since it is smaller than the sum of its proper divisors (4311936).

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

1889664 is a wasteful number, since it uses less digits than its factorization.

1889664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 68 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 1889664 is about 1374.6505010365. The cubic root of 1889664 is about 123.6312318306.

The spelling of 1889664 in words is "one million, eight hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 37 38 42 48 56 57 64 74 76 84 96 111 112 114 128 133 148 152 168 192 222 224 228 259 266 296 304 336 384 399 444 448 456 518 532 592 608 672 703 777 798 888 896 912 1036 1064 1184 1216 1344 1406 1554 1596 1776 1824 2072 2109 2128 2368 2432 2688 2812 3108 3192 3552 3648 4144 4218 4256 4736 4921 5624 6216 6384 7104 7296 8288 8436 8512 9842 11248 12432 12768 14208 14763 16576 16872 17024 19684 22496 24864 25536 29526 33152 33744 39368 44992 49728 51072 59052 67488 78736 89984 99456 118104 134976 157472 236208 269952 314944 472416 629888 944832 1889664