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1035252 = 2232149193
BaseRepresentation
bin11111100101111110100
31221121002200
43330233310
5231112002
634104500
711541141
oct3745764
91847080
101035252
11647889
1241b130
132a329a
141cd3c8
15156b1c
hexfcbf4

1035252 has 36 divisors (see below), whose sum is σ = 2648100. Its totient is φ = 340992.

The previous prime is 1035247. The next prime is 1035257. The reversal of 1035252 is 2525301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1035247) and next prime (1035257).

It can be written as a sum of positive squares in 2 ways, for example, as 181476 + 853776 = 426^2 + 924^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035257) 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, 5268 + ... + 5460.

21035252 is an apocalyptic number.

1035252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1035252 is an abundant number, since it is smaller than the sum of its proper divisors (1612848).

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

1035252 is a wasteful number, since it uses less digits than its factorization.

1035252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1035252 is about 1017.4733411741. The cubic root of 1035252 is about 101.1615230731.

It can be divided in two parts, 10352 and 52, that added together give a square (10404 = 1022).

The spelling of 1035252 in words is "one million, thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 149 193 298 386 447 579 596 772 894 1158 1341 1737 1788 2316 2682 3474 5364 6948 28757 57514 86271 115028 172542 258813 345084 517626 1035252