Search a number
-
+
1880313300 = 2232524150957
BaseRepresentation
bin111000000010011…
…0100110111010100
311212001010210221100
41300010310313110
512322330011200
6510325350100
764411253655
oct16004646724
94761123840
101880313300
1188542a238
12445868330
1323c72cc28
1413ba2152c
15b011ed00
hex70134dd4

1880313300 has 108 divisors (see below), whose sum is σ = 6037605756. Its totient is φ = 489177600.

The previous prime is 1880313289. The next prime is 1880313301. The reversal of 1880313300 is 33130881.

It can be written as a sum of positive squares in 6 ways, for example, as 103184964 + 1777128336 = 10158^2 + 42156^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1880313301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11422 + ... + 62378.

It is an arithmetic number, because the mean of its divisors is an integer number (55903757).

Almost surely, 21880313300 is an apocalyptic number.

1880313300 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 1880313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018802878).

1880313300 is an abundant number, since it is smaller than the sum of its proper divisors (4157292456).

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

1880313300 is a wasteful number, since it uses less digits than its factorization.

1880313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51018 (or 51008 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1880313300 is about 43362.5794896936. The cubic root of 1880313300 is about 1234.2697141839.

The spelling of 1880313300 in words is "one billion, eight hundred eighty million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 150 164 180 205 225 246 300 369 410 450 492 615 738 820 900 1025 1230 1476 1845 2050 2460 3075 3690 4100 6150 7380 9225 12300 18450 36900 50957 101914 152871 203828 254785 305742 458613 509570 611484 764355 917226 1019140 1273925 1528710 1834452 2089237 2293065 2547850 3057420 3821775 4178474 4586130 5095700 6267711 7643550 8356948 9172260 10446185 11465325 12535422 15287100 18803133 20892370 22930650 25070844 31338555 37606266 41784740 45861300 52230925 62677110 75212532 94015665 104461850 125354220 156692775 188031330 208923700 313385550 376062660 470078325 626771100 940156650 1880313300