Search a number
-
+
1329768090 = 23457234527
BaseRepresentation
bin100111101000010…
…1010011010011010
310102200012012220000
41033100222122122
510210410034330
6335541313430
744644561620
oct11720523232
93380165800
101329768090
1162268a4a2
12311405876
1318265b531
14c886d510
157bb20560
hex4f42a69a

1329768090 has 80 divisors (see below), whose sum is σ = 4086415872. Its totient is φ = 303945696.

The previous prime is 1329768079. The next prime is 1329768091. The reversal of 1329768090 is 908679231.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1329768091) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111594 + ... + 122933.

Almost surely, 21329768090 is an apocalyptic number.

1329768090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1329768090 is an abundant number, since it is smaller than the sum of its proper divisors (2756647782).

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

1329768090 is a wasteful number, since it uses less digits than its factorization.

1329768090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234553 (or 234544 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1329768090 is about 36465.9853836421. The cubic root of 1329768090 is about 1099.6605260988.

The spelling of 1329768090 in words is "one billion, three hundred twenty-nine million, seven hundred sixty-eight thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 5670 234527 469054 703581 1172635 1407162 1641689 2110743 2345270 3283378 3517905 4221486 4925067 6332229 7035810 8208445 9850134 10553715 12664458 14775201 16416890 18996687 21107430 24625335 29550402 31661145 37993374 44325603 49250670 63322290 73876005 88651206 94983435 132976809 147752010 189966870 221628015 265953618 443256030 664884045 1329768090