Search a number
-
+
19550900 = 22521931013
BaseRepresentation
bin100101010010…
…1001010110100
31100210021210102
41022211022310
520001112100
61535013232
7325115465
oct112451264
940707712
1019550900
1110043976
12666a218
134086ba5
14284cd6c
151ab2cd5
hex12a52b4

19550900 has 36 divisors (see below), whose sum is σ = 42687372. Its totient is φ = 7772160.

The previous prime is 19550849. The next prime is 19550929. The reversal of 19550900 is 905591.

It can be written as a sum of positive squares in 6 ways, for example, as 7118224 + 12432676 = 2668^2 + 3526^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18794 + ... + 19806.

Almost surely, 219550900 is an apocalyptic number.

19550900 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 19550900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21343686).

19550900 is an abundant number, since it is smaller than the sum of its proper divisors (23136472).

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

19550900 is a wasteful number, since it uses less digits than its factorization.

19550900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 29.

The square root of 19550900 is about 4421.6399672520. The cubic root of 19550900 is about 269.3946198854.

The spelling of 19550900 in words is "nineteen million, five hundred fifty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 386 772 965 1013 1930 2026 3860 4052 4825 5065 9650 10130 19300 20260 25325 50650 101300 195509 391018 782036 977545 1955090 3910180 4887725 9775450 19550900