Search a number
-
+
10194900 = 22352171999
BaseRepresentation
bin100110111000…
…111111010100
3201011221202220
4212320333110
510102214100
61002302340
7152440512
oct46707724
921157686
1010194900
115833641
1234b79b0
13215c4b1
1414d54b2
15d65aa0
hex9b8fd4

10194900 has 72 divisors (see below), whose sum is σ = 31248000. Its totient is φ = 2557440.

The previous prime is 10194889. The next prime is 10194901. The reversal of 10194900 is 949101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10194901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4101 + ... + 6099.

It is an arithmetic number, because the mean of its divisors is an integer number (434000).

Almost surely, 210194900 is an apocalyptic number.

10194900 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 10194900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624000).

10194900 is an abundant number, since it is smaller than the sum of its proper divisors (21053100).

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

10194900 is a wasteful number, since it uses less digits than its factorization.

10194900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 10194900 is about 3192.9453487337. The cubic root of 10194900 is about 216.8341374511.

The spelling of 10194900 in words is "ten million, one hundred ninety-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 1999 2550 3998 5100 5997 7996 9995 11994 19990 23988 29985 33983 39980 49975 59970 67966 99950 101949 119940 135932 149925 169915 199900 203898 299850 339830 407796 509745 599700 679660 849575 1019490 1699150 2038980 2548725 3398300 5097450 10194900