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2040984 = 233311859
BaseRepresentation
bin111110010010010011000
310211200201000
413302102120
51010302414
6111425000
723230251
oct7622230
93750630
102040984
111174470
12825160
13565caa
143b1b28
152a4b09
hex1f2498

2040984 has 64 divisors (see below), whose sum is σ = 6192000. Its totient is φ = 617760.

The previous prime is 2040971. The next prime is 2040989. The reversal of 2040984 is 4890402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040989) 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, 1947 + ... + 2805.

It is an arithmetic number, because the mean of its divisors is an integer number (96750).

22040984 is an apocalyptic number.

2040984 is a gapful number since it is divisible by the number (24) 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 2040984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096000).

2040984 is an abundant number, since it is smaller than the sum of its proper divisors (4151016).

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

2040984 is a wasteful number, since it uses less digits than its factorization.

2040984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2040984 is about 1428.6301130804. The cubic root of 2040984 is about 126.8469025439.

The spelling of 2040984 in words is "two million, forty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 859 1188 1718 2376 2577 3436 5154 6872 7731 9449 10308 15462 18898 20616 23193 28347 30924 37796 46386 56694 61848 75592 85041 92772 113388 170082 185544 226776 255123 340164 510246 680328 1020492 2040984