Search a number
-
+
1006460 = 225721379
BaseRepresentation
bin11110101101101111100
31220010121022
43311231330
5224201320
633323312
711361200
oct3655574
91803538
101006460
11628194
12406538
13293150
141c2b00
1514d325
hexf5b7c

1006460 has 72 divisors (see below), whose sum is σ = 2681280. Its totient is φ = 314496.

The previous prime is 1006441. The next prime is 1006463. The reversal of 1006460 is 646001.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12701 + ... + 12779.

It is an arithmetic number, because the mean of its divisors is an integer number (37240).

21006460 is an apocalyptic number.

1006460 is a gapful number since it is divisible by the number (10) 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 1006460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340640).

1006460 is an abundant number, since it is smaller than the sum of its proper divisors (1674820).

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

1006460 is a wasteful number, since it uses less digits than its factorization.

1006460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1006460 is about 1003.2248003314. The cubic root of 1006460 is about 100.2148713059.

The spelling of 1006460 in words is "one million, six thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 79 91 98 130 140 158 182 196 245 260 316 364 395 455 490 553 637 790 910 980 1027 1106 1274 1580 1820 2054 2212 2548 2765 3185 3871 4108 5135 5530 6370 7189 7742 10270 11060 12740 14378 15484 19355 20540 28756 35945 38710 50323 71890 77420 100646 143780 201292 251615 503230 1006460