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4098640 = 245713563
BaseRepresentation
bin1111101000101001010000
321201020021111
433220221100
52022124030
6223503104
746560250
oct17505120
97636244
104098640
11234a407
121457a94
13b06740
14789960
1555e62a
hex3e8a50

4098640 has 80 divisors (see below), whose sum is σ = 11749248. Its totient is φ = 1294848.

The previous prime is 4098637. The next prime is 4098641. The reversal of 4098640 is 468904.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4098641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6999 + ... + 7561.

Almost surely, 24098640 is an apocalyptic number.

4098640 is a gapful number since it is divisible by the number (40) 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 4098640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5874624).

4098640 is an abundant number, since it is smaller than the sum of its proper divisors (7650608).

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

4098640 is a wasteful number, since it uses less digits than its factorization.

4098640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4098640 is about 2024.5098172150. The cubic root of 4098640 is about 160.0343676174.

The spelling of 4098640 in words is "four million, ninety-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 563 728 910 1040 1126 1456 1820 2252 2815 3640 3941 4504 5630 7280 7319 7882 9008 11260 14638 15764 19705 22520 29276 31528 36595 39410 45040 51233 58552 63056 73190 78820 102466 117104 146380 157640 204932 256165 292760 315280 409864 512330 585520 819728 1024660 2049320 4098640