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1013148 = 22345359
BaseRepresentation
bin11110111010110011100
31220110210000
43313112130
5224410043
633414300
711416533
oct3672634
91813700
101013148
11632214
1240a390
132961c6
141c531a
151502d3
hexf759c

1013148 has 60 divisors (see below), whose sum is σ = 2744280. Its totient is φ = 325728.

The previous prime is 1013143. The next prime is 1013153. The reversal of 1013148 is 8413101.

It is an interprime number because it is at equal distance from previous prime (1013143) and next prime (1013153).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1013148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013143) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 17143 + ... + 17201.

It is an arithmetic number, because the mean of its divisors is an integer number (45738).

21013148 is an apocalyptic number.

1013148 is a gapful number since it is divisible by the number (18) 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 1013148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372140).

1013148 is an abundant number, since it is smaller than the sum of its proper divisors (1731132).

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

1013148 is a wasteful number, since it uses less digits than its factorization.

1013148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1013148 is about 1006.5525321611. The cubic root of 1013148 is about 100.4363597984.

Adding to 1013148 its reverse (8413101), we get a palindrome (9426249).

It can be divided in two parts, 101 and 3148, that added together give a square (3249 = 572).

The spelling of 1013148 in words is "one million, thirteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 59 81 106 108 118 159 162 177 212 236 318 324 354 477 531 636 708 954 1062 1431 1593 1908 2124 2862 3127 3186 4293 4779 5724 6254 6372 8586 9381 9558 12508 17172 18762 19116 28143 37524 56286 84429 112572 168858 253287 337716 506574 1013148