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1013652 = 223237761
BaseRepresentation
bin11110111011110010100
31220111110200
43313132110
5224414102
633420500
711421153
oct3673624
91814420
101013652
11632632
1240a730
132964c3
141c559a
1515051c
hexf7794

1013652 has 36 divisors (see below), whose sum is σ = 2634996. Its totient is φ = 328320.

The previous prime is 1013641. The next prime is 1013671. The reversal of 1013652 is 2563101.

1013652 is a `hidden beast` number, since 1 + 0 + 13 + 652 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 367236 + 646416 = 606^2 + 804^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 952 + ... + 1712.

21013652 is an apocalyptic number.

1013652 is a gapful number since it is divisible by the number (12) 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 1013652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317498).

1013652 is an abundant number, since it is smaller than the sum of its proper divisors (1621344).

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

1013652 is a wasteful number, since it uses less digits than its factorization.

1013652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1013652 is about 1006.8028605442. The cubic root of 1013652 is about 100.4530113747.

Adding to 1013652 its reverse (2563101), we get a palindrome (3576753).

The spelling of 1013652 in words is "one million, thirteen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 761 1332 1522 2283 3044 4566 6849 9132 13698 27396 28157 56314 84471 112628 168942 253413 337884 506826 1013652