Search a number
-
+
670368100 = 225221131771
BaseRepresentation
bin100111111101010…
…000000101100100
31201201102020011011
4213331100011210
52333103234400
6150304152004
722420014643
oct4775200544
91651366134
10670368100
11314450526
12168608604
13a8b65b1c
146506335a
153dcbc8ba
hex27f50164

670368100 has 36 divisors (see below), whose sum is σ = 1461639088. Its totient is φ = 266868000.

The previous prime is 670368091. The next prime is 670368107. The reversal of 670368100 is 1863076.

It is a super-2 number, since 2×6703681002 = 898786778995220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (670368107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5215 + ... + 36985.

Almost surely, 2670368100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 670368100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730819544).

670368100 is an abundant number, since it is smaller than the sum of its proper divisors (791270988).

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

670368100 is a wasteful number, since it uses less digits than its factorization.

670368100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31996 (or 31989 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 670368100 is about 25891.4677065631. The cubic root of 670368100 is about 875.1942317114.

The spelling of 670368100 in words is "six hundred seventy million, three hundred sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 422 844 1055 2110 4220 5275 10550 21100 31771 63542 127084 158855 317710 635420 794275 1588550 3177100 6703681 13407362 26814724 33518405 67036810 134073620 167592025 335184050 670368100