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1329630 = 235234147
BaseRepresentation
bin101000100100111011110
32111112220120
411010213132
5320022010
644255410
714205321
oct5044736
92445816
101329630
11828a75
12541566
13377283
142687b8
151b3e70
hex1449de

1329630 has 64 divisors (see below), whose sum is σ = 3483648. Its totient is φ = 323840.

The previous prime is 1329623. The next prime is 1329631. The reversal of 1329630 is 369231.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 1329630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329631) 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 31 ways as a sum of consecutive naturals, for example, 28267 + ... + 28313.

It is an arithmetic number, because the mean of its divisors is an integer number (54432).

21329630 is an apocalyptic number.

1329630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1329630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741824).

1329630 is an abundant number, since it is smaller than the sum of its proper divisors (2154018).

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

1329630 is a wasteful number, since it uses less digits than its factorization.

1329630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 1329630 is about 1153.0958329645. The cubic root of 1329630 is about 109.9622459968.

The spelling of 1329630 in words is "one million, three hundred twenty-nine thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 41 46 47 69 82 94 115 123 138 141 205 230 235 246 282 345 410 470 615 690 705 943 1081 1230 1410 1886 1927 2162 2829 3243 3854 4715 5405 5658 5781 6486 9430 9635 10810 11562 14145 16215 19270 28290 28905 32430 44321 57810 88642 132963 221605 265926 443210 664815 1329630