Search a number
-
+
1984880 = 24543577
BaseRepresentation
bin111100100100101110000
310201211202002
413210211300
51002004010
6110313132
722604552
oct7444560
93654662
101984880
1111362a7
127b87a8
135465b1
143994d2
152931a5
hex1e4970

1984880 has 40 divisors (see below), whose sum is σ = 4730352. Its totient is φ = 774144.

The previous prime is 1984867. The next prime is 1984891. The reversal of 1984880 is 884891.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×19848802 = 7879497228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3152 + ... + 3728.

21984880 is an apocalyptic number.

1984880 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 1984880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365176).

1984880 is an abundant number, since it is smaller than the sum of its proper divisors (2745472).

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

1984880 is a wasteful number, since it uses less digits than its factorization.

1984880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 1984880 is about 1408.8576933104. The cubic root of 1984880 is about 125.6738014072.

The spelling of 1984880 in words is "one million, nine hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 577 688 860 1154 1720 2308 2885 3440 4616 5770 9232 11540 23080 24811 46160 49622 99244 124055 198488 248110 396976 496220 992440 1984880