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1350480 = 243517331
BaseRepresentation
bin101001001101101010000
32112121111210
411021231100
5321203410
644540120
714323155
oct5115520
92477453
101350480
118426aa
12551640
13383901
1427222c
151ba220
hex149b50

1350480 has 80 divisors (see below), whose sum is σ = 4446144. Its totient is φ = 337920.

The previous prime is 1350473. The next prime is 1350487. The reversal of 1350480 is 840531.

It is an interprime number because it is at equal distance from previous prime (1350473) and next prime (1350487).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3915 + ... + 4245.

21350480 is an apocalyptic number.

1350480 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 1350480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223072).

1350480 is an abundant number, since it is smaller than the sum of its proper divisors (3095664).

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

1350480 is a wasteful number, since it uses less digits than its factorization.

1350480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1350480 is about 1162.1015446165. The cubic root of 1350480 is about 110.5340421857.

It can be divided in two parts, 1350 and 480, that added together give a triangular number (1830 = T60).

The spelling of 1350480 in words is "one million, three hundred fifty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 331 340 408 510 662 680 816 993 1020 1324 1360 1655 1986 2040 2648 3310 3972 4080 4965 5296 5627 6620 7944 9930 11254 13240 15888 16881 19860 22508 26480 28135 33762 39720 45016 56270 67524 79440 84405 90032 112540 135048 168810 225080 270096 337620 450160 675240 1350480