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1990638 = 2321347181
BaseRepresentation
bin111100101111111101110
310202010122100
413211333232
51002200023
6110355530
722630416
oct7457756
93663570
101990638
11113a661
127bbba6
135490c0
1439b646
15294c43
hex1e5fee

1990638 has 48 divisors (see below), whose sum is σ = 4769856. Its totient is φ = 596160.

The previous prime is 1990621. The next prime is 1990643. The reversal of 1990638 is 8360991.

1990638 is a `hidden beast` number, since 19 + 9 + 0 + 638 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10908 + ... + 11088.

It is an arithmetic number, because the mean of its divisors is an integer number (99372).

21990638 is an apocalyptic number.

1990638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1990638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384928).

1990638 is an abundant number, since it is smaller than the sum of its proper divisors (2779218).

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

1990638 is a wasteful number, since it uses less digits than its factorization.

1990638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1990638 is about 1410.8997129492. The cubic root of 1990638 is about 125.7952077627.

It can be divided in two parts, 1990 and 638, that added together give a triangular number (2628 = T72).

The spelling of 1990638 in words is "one million, nine hundred ninety thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 47 78 94 117 141 181 234 282 362 423 543 611 846 1086 1222 1629 1833 2353 3258 3666 4706 5499 7059 8507 10998 14118 17014 21177 25521 42354 51042 76563 110591 153126 221182 331773 663546 995319 1990638