Search a number
-
+
1068625180 = 2257311132179
BaseRepresentation
bin111111101100011…
…110110100011100
32202110210210011101
4333230132310130
54142032001210
6254012202444
735324110210
oct7754366434
92673723141
101068625180
114a9235a07
12259a69424
13140516cbc
14a1cd2940
1563c39a3a
hex3fb1ed1c

1068625180 has 96 divisors (see below), whose sum is σ = 2672087040. Its totient is φ = 351267840.

The previous prime is 1068625171. The next prime is 1068625193. The reversal of 1068625180 is 815268601.

It is a super-2 number, since 2×10686251802 = 2283919550660064800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489331 + ... + 491509.

It is an arithmetic number, because the mean of its divisors is an integer number (27834240).

Almost surely, 21068625180 is an apocalyptic number.

1068625180 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 1068625180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336043520).

1068625180 is an abundant number, since it is smaller than the sum of its proper divisors (1603461860).

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

1068625180 is a wasteful number, since it uses less digits than its factorization.

1068625180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 1068625180 is about 32689.8329760187. The cubic root of 1068625180 is about 1022.3708721986.

The spelling of 1068625180 in words is "one billion, sixty-eight million, six hundred twenty-five thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 113 124 140 155 217 226 310 434 452 565 620 791 868 1085 1130 1582 2170 2179 2260 3164 3503 3955 4340 4358 7006 7910 8716 10895 14012 15253 15820 17515 21790 24521 30506 35030 43580 49042 61012 67549 70060 76265 98084 122605 135098 152530 245210 246227 270196 305060 337745 472843 490420 492454 675490 945686 984908 1231135 1350980 1723589 1891372 2364215 2462270 3447178 4728430 4924540 6894356 7633037 8617945 9456860 15266074 17235890 30532148 34471780 38165185 53431259 76330370 106862518 152660740 213725036 267156295 534312590 1068625180