Search a number
-
+
10471900 = 22522329157
BaseRepresentation
bin100111111100…
…100111011100
3201201000202011
4213330213130
510140100100
61012241004
7155003215
oct47744734
921630664
1010471900
115a0276a
123610164
1322285ba
14156840c
15dbcbba
hex9fc9dc

10471900 has 72 divisors (see below), whose sum is σ = 24685920. Its totient is φ = 3843840.

The previous prime is 10471891. The next prime is 10471913. The reversal of 10471900 is 917401.

It is a super-2 number, since 2×104719002 = 219321379220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66622 + ... + 66778.

It is an arithmetic number, because the mean of its divisors is an integer number (342860).

Almost surely, 210471900 is an apocalyptic number.

10471900 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 10471900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12342960).

10471900 is an abundant number, since it is smaller than the sum of its proper divisors (14214020).

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

10471900 is a wasteful number, since it uses less digits than its factorization.

10471900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 10471900 is about 3236.0315202420. The cubic root of 10471900 is about 218.7804420219.

The spelling of 10471900 in words is "ten million, four hundred seventy-one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 29 46 50 58 92 100 115 116 145 157 230 290 314 460 575 580 628 667 725 785 1150 1334 1450 1570 2300 2668 2900 3140 3335 3611 3925 4553 6670 7222 7850 9106 13340 14444 15700 16675 18055 18212 22765 33350 36110 45530 66700 72220 90275 91060 104719 113825 180550 209438 227650 361100 418876 455300 523595 1047190 2094380 2617975 5235950 10471900