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1396416 = 26371039
BaseRepresentation
bin101010100111011000000
32121221112010
411110323000
5324141131
645532520
714604120
oct5247300
92557463
101396416
1187416a
12574140
1339b7a8
14284c80
151c8b46
hex154ec0

1396416 has 56 divisors (see below), whose sum is σ = 4226560. Its totient is φ = 398592.

The previous prime is 1396411. The next prime is 1396427. The reversal of 1396416 is 6146931.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (1396411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 825 + ... + 1863.

21396416 is an apocalyptic number.

1396416 is a gapful number since it is divisible by the number (16) 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 1396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113280).

1396416 is an abundant number, since it is smaller than the sum of its proper divisors (2830144).

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

1396416 is a wasteful number, since it uses less digits than its factorization.

1396416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1051 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 1396416 is about 1181.7004696623. The cubic root of 1396416 is about 111.7733511753.

It can be divided in two parts, 139 and 6416, that added together give a triangular number (6555 = T114).

The spelling of 1396416 in words is "one million, three hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1039 1344 2078 3117 4156 6234 7273 8312 12468 14546 16624 21819 24936 29092 33248 43638 49872 58184 66496 87276 99744 116368 174552 199488 232736 349104 465472 698208 1396416