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1368432 = 2432131743
BaseRepresentation
bin101001110000101110000
32120112010200
411032011300
5322242212
645155200
714426412
oct5160560
92515120
101368432
1185513a
1255bb00
1338bb30
142789b2
151c06dc
hex14e170

1368432 has 120 divisors (see below), whose sum is σ = 4468464. Its totient is φ = 387072.

The previous prime is 1368401. The next prime is 1368439. The reversal of 1368432 is 2348631.

It is a happy number.

It is a super-2 number, since 2×13684322 = 3745212277248, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 1368396 and 1368405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31803 + ... + 31845.

21368432 is an apocalyptic number.

1368432 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 1368432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234232).

1368432 is an abundant number, since it is smaller than the sum of its proper divisors (3100032).

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

1368432 is a wasteful number, since it uses less digits than its factorization.

1368432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 78 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 1368432 is about 1169.7999829031. The cubic root of 1368432 is about 111.0216660897.

The spelling of 1368432 in words is "one million, three hundred sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 43 48 51 52 68 72 78 86 102 104 117 129 136 144 153 156 172 204 208 221 234 258 272 306 312 344 387 408 442 468 516 559 612 624 663 688 731 774 816 884 936 1032 1118 1224 1326 1462 1548 1677 1768 1872 1989 2064 2193 2236 2448 2652 2924 3096 3354 3536 3978 4386 4472 5031 5304 5848 6192 6579 6708 7956 8772 8944 9503 10062 10608 11696 13158 13416 15912 17544 19006 20124 26316 26832 28509 31824 35088 38012 40248 52632 57018 76024 80496 85527 105264 114036 152048 171054 228072 342108 456144 684216 1368432