Search a number
-
+
1339920 = 243251861
BaseRepresentation
bin101000111001000010000
32112002000200
411013020100
5320334140
644415200
714250321
oct5071020
92462020
101339920
1183577a
12547500
1337bb6a
1426c448
151b7030
hex147210

1339920 has 60 divisors (see below), whose sum is σ = 4502316. Its totient is φ = 357120.

The previous prime is 1339909. The next prime is 1339931. The reversal of 1339920 is 299331.

It is an interprime number because it is at equal distance from previous prime (1339909) and next prime (1339931).

It can be written as a sum of positive squares in 2 ways, for example, as 147456 + 1192464 = 384^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211 + ... + 1650.

21339920 is an apocalyptic number.

1339920 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 1339920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251158).

1339920 is an abundant number, since it is smaller than the sum of its proper divisors (3162396).

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

1339920 is a wasteful number, since it uses less digits than its factorization.

1339920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 1339920 is about 1157.5491350262. The cubic root of 1339920 is about 110.2451831237.

The spelling of 1339920 in words is "one million, three hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1861 3722 5583 7444 9305 11166 14888 16749 18610 22332 27915 29776 33498 37220 44664 55830 66996 74440 83745 89328 111660 133992 148880 167490 223320 267984 334980 446640 669960 1339920