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1329900 = 22352111331
BaseRepresentation
bin101000100101011101100
32111120021120
411010223230
5320024100
644300540
714206155
oct5045354
92446246
101329900
118291a0
12541750
13377430
1426892c
151b40a0
hex144aec

1329900 has 144 divisors (see below), whose sum is σ = 4666368. Its totient is φ = 288000.

The previous prime is 1329899. The next prime is 1329907. The reversal of 1329900 is 99231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42885 + ... + 42915.

21329900 is an apocalyptic number.

1329900 is a gapful number since it is divisible by the number (10) 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 1329900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333184).

1329900 is an abundant number, since it is smaller than the sum of its proper divisors (3336468).

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

1329900 is a wasteful number, since it uses less digits than its factorization.

1329900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 1329900 is about 1153.2129031536. The cubic root of 1329900 is about 109.9696886179.

The spelling of 1329900 in words is "one million, three hundred twenty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 31 33 39 44 50 52 55 60 62 65 66 75 78 93 100 110 124 130 132 143 150 155 156 165 186 195 220 260 275 286 300 310 325 330 341 372 390 403 429 465 550 572 620 650 660 682 715 775 780 806 825 858 930 975 1023 1100 1209 1300 1364 1430 1550 1612 1650 1705 1716 1860 1950 2015 2046 2145 2325 2418 2860 3100 3300 3410 3575 3900 4030 4092 4290 4433 4650 4836 5115 6045 6820 7150 8060 8525 8580 8866 9300 10075 10230 10725 12090 13299 14300 17050 17732 20150 20460 21450 22165 24180 25575 26598 30225 34100 40300 42900 44330 51150 53196 60450 66495 88660 102300 110825 120900 132990 221650 265980 332475 443300 664950 1329900