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2041640 = 235431187
BaseRepresentation
bin111110010011100101000
310211201121022
413302130220
51010313030
6111432012
723232206
oct7623450
93751538
102041640
111174a07
12825608
13566393
143b2076
152a4de5
hex1f2728

2041640 has 32 divisors (see below), whose sum is σ = 4704480. Its totient is φ = 796992.

The previous prime is 2041639. The next prime is 2041643. The reversal of 2041640 is 461402.

It is not an unprimeable number, because it can be changed into a prime (2041643) 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 7 ways as a sum of consecutive naturals, for example, 1127 + ... + 2313.

It is an arithmetic number, because the mean of its divisors is an integer number (147015).

22041640 is an apocalyptic number.

2041640 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 2041640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352240).

2041640 is an abundant number, since it is smaller than the sum of its proper divisors (2662840).

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

2041640 is a wasteful number, since it uses less digits than its factorization.

2041640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2041640 is about 1428.8596852036. The cubic root of 2041640 is about 126.8604911944.

The spelling of 2041640 in words is "two million, forty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1187 1720 2374 4748 5935 9496 11870 23740 47480 51041 102082 204164 255205 408328 510410 1020820 2041640