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1939984 = 242937113
BaseRepresentation
bin111011001101000010000
310122120011021
413121220100
5444034414
6105325224
722326634
oct7315020
93576137
101939984
1111055a2
12796814
1352c027
14386dc4
15284c24
hex1d9a10

1939984 has 40 divisors (see below), whose sum is σ = 4028760. Its totient is φ = 903168.

The previous prime is 1939969. The next prime is 1939999. The reversal of 1939984 is 4899391.

It is an interprime number because it is at equal distance from previous prime (1939969) and next prime (1939999).

It can be written as a sum of positive squares in 4 ways, for example, as 176400 + 1763584 = 420^2 + 1328^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1939984.

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, 17112 + ... + 17224.

It is an arithmetic number, because the mean of its divisors is an integer number (100719).

21939984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1939984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014380).

1939984 is an abundant number, since it is smaller than the sum of its proper divisors (2088776).

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

1939984 is a wasteful number, since it uses less digits than its factorization.

1939984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its digits is 69984, while the sum is 43.

The square root of 1939984 is about 1392.8330840413. The cubic root of 1939984 is about 124.7190275758.

The spelling of 1939984 in words is "one million, nine hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 29 37 58 74 113 116 148 226 232 296 452 464 592 904 1073 1808 2146 3277 4181 4292 6554 8362 8584 13108 16724 17168 26216 33448 52432 66896 121249 242498 484996 969992 1939984