Search a number
-
+
1990464 = 26371481
BaseRepresentation
bin111100101111101000000
310202010101220
413211331000
51002143324
6110355040
722630050
oct7457500
93663356
101990464
11113a513
127bba80
13548cb8
1439b560
15294b79
hex1e5f40

1990464 has 56 divisors (see below), whose sum is σ = 6022848. Its totient is φ = 568320.

The previous prime is 1990463. The next prime is 1990481. The reversal of 1990464 is 4640991.

1990464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1990463) 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, 604 + ... + 2084.

21990464 is an apocalyptic number.

1990464 is a gapful number since it is divisible by the number (14) 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 1990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011424).

1990464 is an abundant number, since it is smaller than the sum of its proper divisors (4032384).

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

1990464 is a wasteful number, since it uses less digits than its factorization.

1990464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1990464 is about 1410.8380488206. The cubic root of 1990464 is about 125.7915424380.

The spelling of 1990464 in words is "one million, nine hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1481 2962 4443 5924 8886 10367 11848 17772 20734 23696 31101 35544 41468 47392 62202 71088 82936 94784 124404 142176 165872 248808 284352 331744 497616 663488 995232 1990464