Search a number
-
+
1329794100 = 22325213111279
BaseRepresentation
bin100111101000011…
…0000110000110100
310102200020112120100
41033100300300310
510210411402400
6335542034100
744645030505
oct11720606064
93380215510
101329794100
116226a7a98
12311418930
1318266a31b
14c8878bac
157bb28100
hex4f430c34

1329794100 has 108 divisors (see below), whose sum is σ = 4200356160. Its totient is φ = 351873600.

The previous prime is 1329794099. The next prime is 1329794129. The reversal of 1329794100 is 14979231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 112261 + ... + 123539.

Almost surely, 21329794100 is an apocalyptic number.

1329794100 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 1329794100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100178080).

1329794100 is an abundant number, since it is smaller than the sum of its proper divisors (2870562060).

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

1329794100 is a wasteful number, since it uses less digits than its factorization.

1329794100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11430 (or 11420 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1329794100 is about 36466.3420156176. The cubic root of 1329794100 is about 1099.6676957660.

The spelling of 1329794100 in words is "one billion, three hundred twenty-nine million, seven hundred ninety-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 131 150 180 225 262 300 393 450 524 655 786 900 1179 1310 1572 1965 2358 2620 3275 3930 4716 5895 6550 7860 9825 11279 11790 13100 19650 22558 23580 29475 33837 39300 45116 56395 58950 67674 101511 112790 117900 135348 169185 203022 225580 281975 338370 406044 507555 563950 676740 845925 1015110 1127900 1477549 1691850 2030220 2537775 2955098 3383700 4432647 5075550 5910196 7387745 8865294 10151100 13297941 14775490 17730588 22163235 26595882 29550980 36938725 44326470 53191764 66489705 73877450 88652940 110816175 132979410 147754900 221632350 265958820 332448525 443264700 664897050 1329794100