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11306142 = 234101691
BaseRepresentation
bin101011001000…
…010010011110
3210021102010000
4223020102132
510343244032
61042155130
7165046341
oct53102236
923242100
1011306142
116422521
123952aa6
13245b233
141704458
15ed4e7c
hexac849e

11306142 has 40 divisors (see below), whose sum is σ = 25621992. Its totient is φ = 3726000.

The previous prime is 11306137. The next prime is 11306147. The reversal of 11306142 is 24160311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11306137) and next prime (11306147).

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 (11306147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16017 + ... + 16707.

Almost surely, 211306142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11306142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12810996).

11306142 is an abundant number, since it is smaller than the sum of its proper divisors (14315850).

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

11306142 is a wasteful number, since it uses less digits than its factorization.

11306142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11306142 is about 3362.4607060901. The cubic root of 11306142 is about 224.4423523824.

Adding to 11306142 its reverse (24160311), we get a palindrome (35466453).

It can be divided in two parts, 11 and 306142, that added together give a triangular number (306153 = T782).

The spelling of 11306142 in words is "eleven million, three hundred six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 691 909 1382 1818 2073 2727 4146 5454 6219 8181 12438 16362 18657 37314 55971 69791 111942 139582 209373 418746 628119 1256238 1884357 3768714 5653071 11306142