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1336896 = 263211211
BaseRepresentation
bin101000110011001000000
32111220212200
411012121000
5320240041
644353200
714235441
oct5063100
92456780
101336896
11833480
12545800
1337a682
1426b2c8
151b61b6
hex146640

1336896 has 84 divisors (see below), whose sum is σ = 4200144. Its totient is φ = 403200.

The previous prime is 1336891. The next prime is 1336901. The reversal of 1336896 is 6986331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1336891) and next prime (1336901).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1336896.

It is not an unprimeable number, because it can be changed into a prime (1336891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6231 + ... + 6441.

21336896 is an apocalyptic number.

1336896 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 1336896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100072).

1336896 is an abundant number, since it is smaller than the sum of its proper divisors (2863248).

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

1336896 is a wasteful number, since it uses less digits than its factorization.

1336896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 1336896 is about 1156.2421891628. The cubic root of 1336896 is about 110.1621849979.

The spelling of 1336896 in words is "one million, three hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 211 264 288 352 396 422 528 576 633 704 792 844 1056 1266 1584 1688 1899 2112 2321 2532 3168 3376 3798 4642 5064 6336 6752 6963 7596 9284 10128 13504 13926 15192 18568 20256 20889 27852 30384 37136 40512 41778 55704 60768 74272 83556 111408 121536 148544 167112 222816 334224 445632 668448 1336896