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1481984 = 287827
BaseRepresentation
bin101101001110100000000
32210021220022
411221310000
5334410414
651433012
715411440
oct5516400
92707808
101481984
11922489
125b5768
133cb71a
142a8120
151e418e
hex169d00

1481984 has 36 divisors (see below), whose sum is σ = 3384864. Its totient is φ = 634368.

The previous prime is 1481971. The next prime is 1481989. The reversal of 1481984 is 4891841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1481989) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1379 + ... + 2205.

It is an arithmetic number, because the mean of its divisors is an integer number (94024).

21481984 is an apocalyptic number.

1481984 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 1481984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692432).

1481984 is an abundant number, since it is smaller than the sum of its proper divisors (1902880).

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

1481984 is an frugal number, since it uses more digits than its factorization.

1481984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 836 counting only the distinct ones).

The product of its digits is 9216, while the sum is 35.

The square root of 1481984 is about 1217.3676519441. The cubic root of 1481984 is about 114.0112844067.

The spelling of 1481984 in words is "one million, four hundred eighty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 827 896 1654 1792 3308 5789 6616 11578 13232 23156 26464 46312 52928 92624 105856 185248 211712 370496 740992 1481984