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1990896 = 243193759
BaseRepresentation
bin111100110000011110000
310202010222220
413212003300
51002202041
6110401040
722631235
oct7460360
93663886
101990896
11113a876
12800180
1354925b
1439b78c
15294d66
hex1e60f0

1990896 has 80 divisors (see below), whose sum is σ = 5654400. Its totient is φ = 601344.

The previous prime is 1990889. The next prime is 1990907. The reversal of 1990896 is 6980991.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33715 + ... + 33773.

It is an arithmetic number, because the mean of its divisors is an integer number (70680).

21990896 is an apocalyptic number.

1990896 is a gapful number since it is divisible by the number (16) 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 1990896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827200).

1990896 is an abundant number, since it is smaller than the sum of its proper divisors (3663504).

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

1990896 is a wasteful number, since it uses less digits than its factorization.

1990896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 1990896 is about 1410.9911410069. The cubic root of 1990896 is about 125.8006421614.

The spelling of 1990896 in words is "one million, nine hundred ninety thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 59 74 76 111 114 118 148 152 177 222 228 236 296 304 354 444 456 472 592 703 708 888 912 944 1121 1406 1416 1776 2109 2183 2242 2812 2832 3363 4218 4366 4484 5624 6549 6726 8436 8732 8968 11248 13098 13452 16872 17464 17936 26196 26904 33744 34928 41477 52392 53808 82954 104784 124431 165908 248862 331816 497724 663632 995448 1990896