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1013232 = 2431119101
BaseRepresentation
bin11110111010111110000
31220110220010
43313113300
5224410412
633414520
711420013
oct3672760
91813803
101013232
11632290
1240a440
1329625c
141c537a
1515033c
hexf75f0

1013232 has 80 divisors (see below), whose sum is σ = 3035520. Its totient is φ = 288000.

The previous prime is 1013227. The next prime is 1013237. The reversal of 1013232 is 2323101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1013227) and next prime (1013237).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013237) 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 15 ways as a sum of consecutive naturals, for example, 9982 + ... + 10082.

It is an arithmetic number, because the mean of its divisors is an integer number (37944).

21013232 is an apocalyptic number.

1013232 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 1013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517760).

1013232 is an abundant number, since it is smaller than the sum of its proper divisors (2022288).

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

1013232 is a wasteful number, since it uses less digits than its factorization.

1013232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1013232 is about 1006.5942578815. The cubic root of 1013232 is about 100.4391354445.

Adding to 1013232 its reverse (2323101), we get a palindrome (3336333).

It can be divided in two parts, 101 and 3232, that added together give a palindrome (3333).

The spelling of 1013232 in words is "one million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 101 114 132 152 176 202 209 228 264 303 304 404 418 456 528 606 627 808 836 912 1111 1212 1254 1616 1672 1919 2222 2424 2508 3333 3344 3838 4444 4848 5016 5757 6666 7676 8888 10032 11514 13332 15352 17776 21109 23028 26664 30704 42218 46056 53328 63327 84436 92112 126654 168872 253308 337744 506616 1013232