[go: up one dir, main page]

Search a number
-
+
1307670 = 235713479
BaseRepresentation
bin100111111010000010110
32110102210020
410333100112
5313321140
644010010
714054310
oct4772026
92412706
101307670
11813521
12530906
1336a290
142607b0
151ac6d0
hex13f416

1307670 has 64 divisors (see below), whose sum is σ = 3870720. Its totient is φ = 275328.

The previous prime is 1307651. The next prime is 1307671. The reversal of 1307670 is 767031.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1307670.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2491 + ... + 2969.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

21307670 is an apocalyptic number.

1307670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935360).

1307670 is an abundant number, since it is smaller than the sum of its proper divisors (2563050).

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

1307670 is a wasteful number, since it uses less digits than its factorization.

1307670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509.

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 1307670 is about 1143.5339959966. The cubic root of 1307670 is about 109.3535081581.

The spelling of 1307670 in words is "one million, three hundred seven thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 479 546 910 958 1365 1437 2395 2730 2874 3353 4790 6227 6706 7185 10059 12454 14370 16765 18681 20118 31135 33530 37362 43589 50295 62270 87178 93405 100590 130767 186810 217945 261534 435890 653835 1307670