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140008900 = 22521738093
BaseRepresentation
bin10000101100001…
…01110111000100
3100202110012002211
420112011313010
5241320241100
621520513204
73320025133
oct1026056704
9322405084
10140008900
1172038839
123aa7b804
1323011405
141484791a
15c4591ba
hex8585dc4

140008900 has 36 divisors (see below), whose sum is σ = 305613252. Its totient is φ = 55672960.

The previous prime is 140008879. The next prime is 140008919. The reversal of 140008900 is 9800041.

It can be written as a sum of positive squares in 6 ways, for example, as 627264 + 139381636 = 792^2 + 11806^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13254 + ... + 21346.

It is an arithmetic number, because the mean of its divisors is an integer number (8489257).

Almost surely, 2140008900 is an apocalyptic number.

140008900 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 140008900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152806626).

140008900 is an abundant number, since it is smaller than the sum of its proper divisors (165604352).

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

140008900 is a wasteful number, since it uses less digits than its factorization.

140008900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8280 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 140008900 is about 11832.5356538656. The cubic root of 140008900 is about 519.2604130942.

Adding to 140008900 its reverse (9800041), we get a palindrome (149808941).

The spelling of 140008900 in words is "one hundred forty million, eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 1730 3460 4325 8093 8650 16186 17300 32372 40465 80930 161860 202325 404650 809300 1400089 2800178 5600356 7000445 14000890 28001780 35002225 70004450 140008900