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1335264 = 25371987
BaseRepresentation
bin101000101111111100000
32111211122020
411011333200
5320212024
644341440
714230620
oct5057740
92454566
101335264
11832227
12544880
133799c8
1426a880
151b5979
hex145fe0

1335264 has 48 divisors (see below), whose sum is σ = 4007808. Its totient is φ = 381312.

The previous prime is 1335259. The next prime is 1335277. The reversal of 1335264 is 4625331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322 + ... + 1665.

It is an arithmetic number, because the mean of its divisors is an integer number (83496).

21335264 is an apocalyptic number.

1335264 is a gapful number since it is divisible by the number (14) 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 1335264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003904).

1335264 is an abundant number, since it is smaller than the sum of its proper divisors (2672544).

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

1335264 is a wasteful number, since it uses less digits than its factorization.

1335264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1999 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 1335264 is about 1155.5362391548. The cubic root of 1335264 is about 110.1173403497.

The spelling of 1335264 in words is "one million, three hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1987 3974 5961 7948 11922 13909 15896 23844 27818 31792 41727 47688 55636 63584 83454 95376 111272 166908 190752 222544 333816 445088 667632 1335264