Search a number
-
+
1986880 = 2657887
BaseRepresentation
bin111100101000101000000
310201221111011
413211011000
51002040010
6110330304
722613440
oct7450500
93657434
101986880
111137855
127b9994
1354748c
1439a120
15293a8a
hex1e5140

1986880 has 56 divisors (see below), whose sum is σ = 5413248. Its totient is φ = 680448.

The previous prime is 1986871. The next prime is 1986889. The reversal of 1986880 is 886891.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1986871) and next prime (1986889).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1986889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1797 + ... + 2683.

21986880 is an apocalyptic number.

1986880 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 1986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706624).

1986880 is an abundant number, since it is smaller than the sum of its proper divisors (3426368).

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

1986880 is an equidigital number, since it uses as much as digits as its factorization.

1986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 1986880 is about 1409.5673094961. The cubic root of 1986880 is about 125.7159976154.

The spelling of 1986880 in words is "one million, nine hundred eighty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 887 1120 1774 2240 3548 4435 6209 7096 8870 12418 14192 17740 24836 28384 31045 35480 49672 56768 62090 70960 99344 124180 141920 198688 248360 283840 397376 496720 993440 1986880