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1989120 = 2935737
BaseRepresentation
bin111100101101000000000
310202001120010
413211220000
51002122440
6110344520
722623120
oct7455000
93661503
101989120
111139501
127bb140
135484c3
1439ac80
15294580
hex1e5a00

1989120 has 160 divisors (see below), whose sum is σ = 7463808. Its totient is φ = 442368.

The previous prime is 1989107. The next prime is 1989131. The reversal of 1989120 is 219891.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 53742 + ... + 53778.

21989120 is an apocalyptic number.

1989120 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 1989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731904).

1989120 is an abundant number, since it is smaller than the sum of its proper divisors (5474688).

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

1989120 is an equidigital number, since it uses as much as digits as its factorization.

1989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 1989120 is about 1410.3616557465. The cubic root of 1989120 is about 125.7632237647.

It can be divided in two parts, 1 and 989120, that added together give a triangular number (989121 = T1406).

The spelling of 1989120 in words is "one million, nine hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 37 40 42 48 56 60 64 70 74 80 84 96 105 111 112 120 128 140 148 160 168 185 192 210 222 224 240 256 259 280 296 320 336 370 384 420 444 448 480 512 518 555 560 592 640 672 740 768 777 840 888 896 960 1036 1110 1120 1184 1280 1295 1344 1480 1536 1554 1680 1776 1792 1920 2072 2220 2240 2368 2560 2590 2688 2960 3108 3360 3552 3584 3840 3885 4144 4440 4480 4736 5180 5376 5920 6216 6720 7104 7680 7770 8288 8880 8960 9472 10360 10752 11840 12432 13440 14208 15540 16576 17760 17920 18944 20720 23680 24864 26880 28416 31080 33152 35520 41440 47360 49728 53760 56832 62160 66304 71040 82880 94720 99456 124320 132608 142080 165760 198912 248640 284160 331520 397824 497280 663040 994560 1989120