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1390032 = 243272197
BaseRepresentation
bin101010011010111010000
32121121202200
411103113100
5323440112
645443200
714546400
oct5232720
92547680
101390032
1186a396
12570500
13398907
14282800
151c6cdc
hex1535d0

1390032 has 90 divisors (see below), whose sum is σ = 4548258. Its totient is φ = 395136.

The previous prime is 1390027. The next prime is 1390043. The reversal of 1390032 is 2300931.

It can be written as a sum of positive squares in only one way, i.e., 1382976 + 7056 = 1176^2 + 84^2 .

It is a super-2 number, since 2×13900322 = 3864377922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1389987 and 1390014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6958 + ... + 7154.

21390032 is an apocalyptic number.

1390032 is a gapful number since it is divisible by the number (12) 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 1390032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274129).

1390032 is an abundant number, since it is smaller than the sum of its proper divisors (3158226).

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

1390032 is a wasteful number, since it uses less digits than its factorization.

1390032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1390032 is about 1178.9961831999. The cubic root of 1390032 is about 111.6027594030.

Adding to 1390032 its reverse (2300931), we get a palindrome (3690963).

The spelling of 1390032 in words is "one million, three hundred ninety thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 197 252 294 336 392 394 441 504 588 591 784 788 882 1008 1176 1182 1379 1576 1764 1773 2352 2364 2758 3152 3528 3546 4137 4728 5516 7056 7092 8274 9456 9653 11032 12411 14184 16548 19306 22064 24822 28368 28959 33096 38612 49644 57918 66192 77224 86877 99288 115836 154448 173754 198576 231672 347508 463344 695016 1390032