Search a number
-
+
2050100 = 2252131983
BaseRepresentation
bin111110100100000110100
310212011012122
413310200310
51011100400
6111535112
723265653
oct7644064
93764178
102050100
1111802a8
1282a498
1356a1a0
143b519a
152a7685
hex1f4834

2050100 has 72 divisors (see below), whose sum is σ = 5103840. Its totient is φ = 708480.

The previous prime is 2050099. The next prime is 2050109. The reversal of 2050100 is 10502.

2050100 = T261 + T262 + ... + T310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050109) 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, 24659 + ... + 24741.

22050100 is an apocalyptic number.

2050100 is a gapful number since it is divisible by the number (20) 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 2050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551920).

2050100 is an abundant number, since it is smaller than the sum of its proper divisors (3053740).

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

2050100 is a wasteful number, since it uses less digits than its factorization.

2050100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 2050100 is about 1431.8170274166. The cubic root of 2050100 is about 127.0354748276.

Adding to 2050100 its reverse (10502), we get a palindrome (2060602).

The spelling of 2050100 in words is "two million, fifty thousand, one hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 83 95 100 130 166 190 247 260 325 332 380 415 475 494 650 830 950 988 1079 1235 1300 1577 1660 1900 2075 2158 2470 3154 4150 4316 4940 5395 6175 6308 7885 8300 10790 12350 15770 20501 21580 24700 26975 31540 39425 41002 53950 78850 82004 102505 107900 157700 205010 410020 512525 1025050 2050100