Search a number
-
+
670924072 = 237213312137
BaseRepresentation
bin100111111111010…
…111110100101000
31201202110110210201
4213333113310220
52333224032242
6150324121544
722424521600
oct4777276450
91652413721
10670924072
113147a0205
121688362b4
13a8ccbbc0
1465169c00
153dd7c4b7
hex27fd7d28

670924072 has 144 divisors (see below), whose sum is σ = 1640296980. Its totient is φ = 254983680.

The previous prime is 670924069. The next prime is 670924117. The reversal of 670924072 is 270429076.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 655667236 + 15256836 = 25606^2 + 3906^2 .

It is a super-2 number, since 2×6709240722 = 900278220778122368, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 4897188 + ... + 4897324.

Almost surely, 2670924072 is an apocalyptic number.

670924072 is a gapful number since it is divisible by the number (62) 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 670924072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820148490).

670924072 is an abundant number, since it is smaller than the sum of its proper divisors (969372908).

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

670924072 is a wasteful number, since it uses less digits than its factorization.

670924072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 670924072 is about 25902.2020685501. The cubic root of 670924072 is about 875.4361132651.

The spelling of 670924072 in words is "six hundred seventy million, nine hundred twenty-four thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 91 98 104 124 137 182 196 217 248 274 364 392 403 434 548 637 728 806 868 959 961 1096 1274 1519 1612 1736 1781 1918 1922 2548 2821 3038 3224 3562 3836 3844 4247 5096 5642 6076 6713 6727 7124 7672 7688 8494 11284 12152 12467 12493 13426 13454 14248 16988 19747 22568 24934 24986 26852 26908 29729 33976 39494 47089 49868 49972 53704 53816 55211 59458 78988 87269 87451 94178 99736 99944 110422 118916 131657 157976 174538 174902 188356 208103 220844 237832 263314 349076 349804 376712 386477 416206 441688 526628 612157 698152 699608 772954 832412 921599 1053256 1224314 1545908 1664824 1711541 1843198 2448628 2705339 3091816 3423082 3686396 4897256 5410678 6451193 6846164 7372792 10821356 11980787 12902386 13692328 21642712 23961574 25804772 47923148 51609544 83865509 95846296 167731018 335462036 670924072