Search a number
-
+
901900 = 225229311
BaseRepresentation
bin11011100001100001100
31200211011201
43130030030
5212330100
631155244
710444306
oct3341414
91624151
10901900
1156667a
12375b24
1325768c
14196976
1512c36a
hexdc30c

901900 has 36 divisors (see below), whose sum is σ = 2031120. Its totient is φ = 347200.

The previous prime is 901891. The next prime is 901907. The reversal of 901900 is 9109.

It is a super-2 number, since 2×9019002 = 1626847220000, which contains 22 as substring.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (901907) 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, 2745 + ... + 3055.

It is an arithmetic number, because the mean of its divisors is an integer number (56420).

2901900 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 901900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015560).

901900 is an abundant number, since it is smaller than the sum of its proper divisors (1129220).

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

901900 is a wasteful number, since it uses less digits than its factorization.

901900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 19.

The square root of 901900 is about 949.6841580231. The cubic root of 901900 is about 96.6168325512.

The spelling of 901900 in words is "nine hundred one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 311 580 622 725 1244 1450 1555 2900 3110 6220 7775 9019 15550 18038 31100 36076 45095 90190 180380 225475 450950 901900