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1345536 = 2113273
BaseRepresentation
bin101001000100000000000
32112100201200
411020200000
5321024121
644501200
714302563
oct5104000
92470650
101345536
11839a15
1254a800
1338159a
142704da
151b8a26
hex148800

1345536 has 72 divisors (see below), whose sum is σ = 3939390. Its totient is φ = 442368.

The previous prime is 1345507. The next prime is 1345537. The reversal of 1345536 is 6355431.

It can be written as a sum of positive squares in only one way, i.e., 1115136 + 230400 = 1056^2 + 480^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1345537) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18396 + ... + 18468.

21345536 is an apocalyptic number.

1345536 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 1345536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969695).

1345536 is an abundant number, since it is smaller than the sum of its proper divisors (2593854).

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

1345536 is an equidigital number, since it uses as much as digits as its factorization.

1345536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 1345536 is about 1159.9724134651. The cubic root of 1345536 is about 110.3989917992.

It can be divided in two parts, 1345 and 536, that added together give a palindrome (1881).

The spelling of 1345536 in words is "one million, three hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 512 576 584 657 768 876 1024 1152 1168 1314 1536 1752 2048 2304 2336 2628 3072 3504 4608 4672 5256 6144 7008 9216 9344 10512 14016 18432 18688 21024 28032 37376 42048 56064 74752 84096 112128 149504 168192 224256 336384 448512 672768 1345536