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1353264 = 243112233
BaseRepresentation
bin101001010011000110000
32112202022220
411022120300
5321301024
645001040
714334243
oct5123060
92482286
101353264
11844800
12553180
13384c63
1427325a
151bae79
hex14a630

1353264 has 60 divisors (see below), whose sum is σ = 3859128. Its totient is φ = 408320.

The previous prime is 1353259. The next prime is 1353269. The reversal of 1353264 is 4623531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1353259) and next prime (1353269).

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

It is not an unprimeable number, because it can be changed into a prime (1353269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5692 + ... + 5924.

21353264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929564).

1353264 is an abundant number, since it is smaller than the sum of its proper divisors (2505864).

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

1353264 is a wasteful number, since it uses less digits than its factorization.

1353264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 249 counting only the distinct ones).

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

The square root of 1353264 is about 1163.2987578434. The cubic root of 1353264 is about 110.6099449652.

Adding to 1353264 its reverse (4623531), we get a palindrome (5976795).

The spelling of 1353264 in words is "one million, three hundred fifty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 233 242 264 363 466 484 528 699 726 932 968 1398 1452 1864 1936 2563 2796 2904 3728 5126 5592 5808 7689 10252 11184 15378 20504 28193 30756 41008 56386 61512 84579 112772 123024 169158 225544 338316 451088 676632 1353264