Search a number
-
+
1019900 = 225273147
BaseRepresentation
bin11111000111111111100
31220211001002
43320333330
5230114100
633505432
711445320
oct3707774
91824032
101019900
116372a2
12412278
132992bb
141c7980
151522d5
hexf8ffc

1019900 has 72 divisors (see below), whose sum is σ = 2666496. Its totient is φ = 331200.

The previous prime is 1019899. The next prime is 1019903. The reversal of 1019900 is 99101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1019903) 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, 21677 + ... + 21723.

21019900 is an apocalyptic number.

1019900 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 1019900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333248).

1019900 is an abundant number, since it is smaller than the sum of its proper divisors (1646596).

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

1019900 is a wasteful number, since it uses less digits than its factorization.

1019900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 1019900 is about 1009.9009852456. The cubic root of 1019900 is about 100.6589812318.

It can be divided in two parts, 101 and 9900, that added together give a palindrome (10001).

The spelling of 1019900 in words is "one million, nineteen thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 47 50 62 70 94 100 124 140 155 175 188 217 235 310 329 350 434 470 620 658 700 775 868 940 1085 1175 1316 1457 1550 1645 2170 2350 2914 3100 3290 4340 4700 5425 5828 6580 7285 8225 10199 10850 14570 16450 20398 21700 29140 32900 36425 40796 50995 72850 101990 145700 203980 254975 509950 1019900