Search a number
-
+
680170440 = 233515137537
BaseRepresentation
bin101000100010101…
…001001111001000
31202101212020102210
4220202221033020
52343110423230
6151254225120
722566232125
oct5042511710
91671766383
10680170440
11319a36134
1216b9551a0
13aabb8721
146649574c
153eaa6eb0
hex288a93c8

680170440 has 64 divisors (see below), whose sum is σ = 2054079360. Its totient is φ = 180172800.

The previous prime is 680170429. The next prime is 680170451. The reversal of 680170440 is 44071086.

It is an interprime number because it is at equal distance from previous prime (680170429) and next prime (680170451).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 680170398 and 680170407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649 + ... + 36888.

It is an arithmetic number, because the mean of its divisors is an integer number (32094990).

Almost surely, 2680170440 is an apocalyptic number.

680170440 is a gapful number since it is divisible by the number (60) 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 680170440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027039680).

680170440 is an abundant number, since it is smaller than the sum of its proper divisors (1373908920).

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

680170440 is a wasteful number, since it uses less digits than its factorization.

680170440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37702 (or 37698 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 680170440 is about 26080.0774538727. The cubic root of 680170440 is about 879.4393984558.

The spelling of 680170440 in words is "six hundred eighty million, one hundred seventy thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 755 906 1208 1510 1812 2265 3020 3624 4530 6040 9060 18120 37537 75074 112611 150148 187685 225222 300296 375370 450444 563055 750740 900888 1126110 1501480 2252220 4504440 5668087 11336174 17004261 22672348 28340435 34008522 45344696 56680870 68017044 85021305 113361740 136034088 170042610 226723480 340085220 680170440