Search a number
-
+
1380856350 = 2352194611051
BaseRepresentation
bin101001001001110…
…0011001000011110
310120020022202210210
41102103203020132
510311444400400
6345004313250
746135041156
oct12223431036
93506282723
101380856350
116495038a5
12326542826
13190108083
14d156b766
1581362950
hex524e321e

1380856350 has 96 divisors (see below), whose sum is σ = 3616018560. Its totient is φ = 347760000.

The previous prime is 1380856349. The next prime is 1380856403. The reversal of 1380856350 is 536580831.

It is a junction number, because it is equal to n+sod(n) for n = 1380856299 and 1380856308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1313325 + ... + 1314375.

It is an arithmetic number, because the mean of its divisors is an integer number (37666860).

Almost surely, 21380856350 is an apocalyptic number.

1380856350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380856350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808009280).

1380856350 is an abundant number, since it is smaller than the sum of its proper divisors (2235162210).

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

1380856350 is a wasteful number, since it uses less digits than its factorization.

1380856350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 1380856350 is about 37159.8755380047. The cubic root of 1380856350 is about 1113.5665250917.

The spelling of 1380856350 in words is "one billion, three hundred eighty million, eight hundred fifty-six thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 461 475 570 922 950 1051 1383 1425 2102 2305 2766 2850 3153 4610 5255 6306 6915 8759 10510 11525 13830 15765 17518 19969 23050 26275 26277 31530 34575 39938 43795 52550 52554 59907 69150 78825 87590 99845 119814 131385 157650 199690 218975 262770 299535 437950 484511 499225 599070 656925 969022 998450 1313850 1453533 1497675 2422555 2907066 2995350 4845110 7267665 9205709 12112775 14535330 18411418 24225550 27617127 36338325 46028545 55234254 72676650 92057090 138085635 230142725 276171270 460285450 690428175 1380856350