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1373424 = 243133171
BaseRepresentation
bin101001111010011110000
32120202222120
411033103300
5322422144
645234240
714450103
oct5172360
92522876
101373424
11858968
12562980
133911a0
1427a73a
151c1e19
hex14f4f0

1373424 has 80 divisors (see below), whose sum is σ = 3999744. Its totient is φ = 403200.

The previous prime is 1373419. The next prime is 1373431. The reversal of 1373424 is 4243731.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 1 + 3 + 77 + 312 + 4 + 211 + 47 .

Its product of digits (2016) is a multiple of the sum of its prime factors (126).

It is a junction number, because it is equal to n+sod(n) for n = 1373394 and 1373403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19309 + ... + 19379.

21373424 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 1373424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999872).

1373424 is an abundant number, since it is smaller than the sum of its proper divisors (2626320).

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

1373424 is a wasteful number, since it uses less digits than its factorization.

1373424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 1373424 is about 1171.9317386264. The cubic root of 1373424 is about 111.1565035273.

It can be divided in two parts, 13 and 73424, that added together give a palindrome (73437).

The spelling of 1373424 in words is "one million, three hundred seventy-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 71 78 93 104 124 142 156 186 208 213 248 284 312 372 403 426 496 568 624 744 806 852 923 1136 1209 1488 1612 1704 1846 2201 2418 2769 3224 3408 3692 4402 4836 5538 6448 6603 7384 8804 9672 11076 13206 14768 17608 19344 22152 26412 28613 35216 44304 52824 57226 85839 105648 114452 171678 228904 343356 457808 686712 1373424