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1396032 = 26311661
BaseRepresentation
bin101010100110101000000
32121220222220
411110311000
5324133112
645531040
714603031
oct5246500
92556886
101396032
11873950
12573a80
1339b571
14284a88
151c898c
hex154d40

1396032 has 56 divisors (see below), whose sum is σ = 4035552. Its totient is φ = 422400.

The previous prime is 1396027. The next prime is 1396033. The reversal of 1396032 is 2306931.

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

It is a junction number, because it is equal to n+sod(n) for n = 1395993 and 1396011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1396033) 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, 1782 + ... + 2442.

21396032 is an apocalyptic number.

1396032 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 1396032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017776).

1396032 is an abundant number, since it is smaller than the sum of its proper divisors (2639520).

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

1396032 is a wasteful number, since it uses less digits than its factorization.

1396032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 1396032 is about 1181.5379807691. The cubic root of 1396032 is about 111.7631047297.

The spelling of 1396032 in words is "one million, three hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 661 704 1056 1322 1983 2112 2644 3966 5288 7271 7932 10576 14542 15864 21152 21813 29084 31728 42304 43626 58168 63456 87252 116336 126912 174504 232672 349008 465344 698016 1396032