Search a number
-
+
901460 = 225747137
BaseRepresentation
bin11011100000101010100
31200210120102
43130011110
5212321320
631153232
710443110
oct3340524
91623512
10901460
1156630a
12375818
13257411
14196740
1512c175
hexdc154

901460 has 48 divisors (see below), whose sum is σ = 2225664. Its totient is φ = 300288.

The previous prime is 901457. The next prime is 901471. The reversal of 901460 is 64109.

901460 = T35 + T36 + ... + T175.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6512 + ... + 6648.

It is an arithmetic number, because the mean of its divisors is an integer number (46368).

2901460 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 901460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112832).

901460 is an abundant number, since it is smaller than the sum of its proper divisors (1324204).

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

901460 is a wasteful number, since it uses less digits than its factorization.

901460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 901460 is about 949.4524737974. The cubic root of 901460 is about 96.6011181995.

Adding to 901460 its reverse (64109), we get a palindrome (965569).

The spelling of 901460 in words is "nine hundred one thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 137 140 188 235 274 329 470 548 658 685 940 959 1316 1370 1645 1918 2740 3290 3836 4795 6439 6580 9590 12878 19180 25756 32195 45073 64390 90146 128780 180292 225365 450730 901460