Search a number
-
+
2046100 = 225273779
BaseRepresentation
bin111110011100010010100
310211221201111
413303202110
51010433400
6111504404
723251210
oct7634224
93757644
102046100
1111782a1
12828104
13568414
143b3940
152a63ba
hex1f3894

2046100 has 72 divisors (see below), whose sum is σ = 5277440. Its totient is φ = 673920.

The previous prime is 2046073. The next prime is 2046101. The reversal of 2046100 is 16402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2046101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25861 + ... + 25939.

22046100 is an apocalyptic number.

2046100 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 2046100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638720).

2046100 is an abundant number, since it is smaller than the sum of its proper divisors (3231340).

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

2046100 is a wasteful number, since it uses less digits than its factorization.

2046100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2046100 is about 1430.4195188825. The cubic root of 2046100 is about 126.9528003660.

The spelling of 2046100 in words is "two million, forty-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 79 100 140 148 158 175 185 259 316 350 370 395 518 553 700 740 790 925 1036 1106 1295 1580 1850 1975 2212 2590 2765 2923 3700 3950 5180 5530 5846 6475 7900 11060 11692 12950 13825 14615 20461 25900 27650 29230 40922 55300 58460 73075 81844 102305 146150 204610 292300 409220 511525 1023050 2046100