Search a number
-
+
680001450 = 235219397601
BaseRepresentation
bin101000100001111…
…111111110101010
31202101112122121220
4220201333332222
52343040021300
6151250442510
722564626342
oct5041777652
91671478556
10680001450
11319930177
1216b893436
13aab5982b
146644dd22
153ea71da0
hex2887ffaa

680001450 has 96 divisors (see below), whose sum is σ = 1782594240. Its totient is φ = 171072000.

The previous prime is 680001449. The next prime is 680001457. The reversal of 680001450 is 54100086.

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 680001450.

It is not an unprimeable number, because it can be changed into a prime (680001457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1131150 + ... + 1131750.

It is an arithmetic number, because the mean of its divisors is an integer number (18568690).

Almost surely, 2680001450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680001450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891297120).

680001450 is an abundant number, since it is smaller than the sum of its proper divisors (1102592790).

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

680001450 is a wasteful number, since it uses less digits than its factorization.

680001450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 680001450 is about 26076.8374232766. The cubic root of 680001450 is about 879.3665594707.

The spelling of 680001450 in words is "six hundred eighty million, one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 397 475 570 601 794 950 1191 1202 1425 1803 1985 2382 2850 3005 3606 3970 5955 6010 7543 9015 9925 11419 11910 15025 15086 18030 19850 22629 22838 29775 30050 34257 37715 45075 45258 57095 59550 68514 75430 90150 113145 114190 171285 188575 226290 238597 285475 342570 377150 477194 565725 570950 715791 856425 1131450 1192985 1431582 1712850 2385970 3578955 4533343 5964925 7157910 9066686 11929850 13600029 17894775 22666715 27200058 35789550 45333430 68000145 113333575 136000290 226667150 340000725 680001450