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330000132 = 2237111918797
BaseRepresentation
bin10011101010110…
…110011100000100
3211222221202002010
4103222312130010
51133440001012
652425014220
711114645340
oct2352663404
9758852063
10330000132
1115a304a90
1292624370
13534a2b67
1431b82620
151de87c3c
hex13ab6704

330000132 has 96 divisors (see below), whose sum is σ = 1010580480. Its totient is φ = 81198720.

The previous prime is 330000131. The next prime is 330000137. The reversal of 330000132 is 231000033.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (330000131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8158 + ... + 26954.

It is an arithmetic number, because the mean of its divisors is an integer number (10526880).

Almost surely, 2330000132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505290240).

330000132 is an abundant number, since it is smaller than the sum of its proper divisors (680580348).

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

330000132 is a wasteful number, since it uses less digits than its factorization.

330000132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18841 (or 18839 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 330000132 is about 18165.9057577650. The cubic root of 330000132 is about 691.0424151401.

Adding to 330000132 its reverse (231000033), we get a palindrome (561000165).

Subtracting from 330000132 its reverse (231000033), we obtain a palindrome (99000099).

It can be divided in two parts, 3300001 and 32, that added together give a palindrome (3300033).

The spelling of 330000132 in words is "three hundred thirty million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1254 1463 1596 2508 2926 4389 5852 8778 17556 18797 37594 56391 75188 112782 131579 206767 225564 263158 357143 394737 413534 526316 620301 714286 789474 827068 1071429 1240602 1428572 1447369 1578948 2142858 2481204 2500001 2894738 3928573 4285716 4342107 5000002 5789476 7500003 7857146 8684214 10000004 11785719 15000006 15714292 17368428 23571438 27500011 30000012 47142876 55000022 82500033 110000044 165000066 330000132