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3199896 = 233272907
BaseRepresentation
bin1100001101001110011000
320000120102200
430031032120
51304344041
6152330200
736125100
oct14151630
96016380
103199896
111896147
1210a3960
1388063b
145d4200
154331b6
hex30d398

3199896 has 72 divisors (see below), whose sum is σ = 10092420. Its totient is φ = 913248.

The previous prime is 3199891. The next prime is 3199943. The reversal of 3199896 is 6989913.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3199891) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3075 + ... + 3981.

Almost surely, 23199896 is an apocalyptic number.

3199896 is a gapful number since it is divisible by the number (36) 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 3199896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5046210).

3199896 is an abundant number, since it is smaller than the sum of its proper divisors (6892524).

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

3199896 is a wasteful number, since it uses less digits than its factorization.

3199896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 919 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 3199896 is about 1788.8253128799. The cubic root of 3199896 is about 147.3596635147.

It can be divided in two parts, 3199 and 896, that added together give a triangular number (4095 = T90).

The spelling of 3199896 in words is "three million, one hundred ninety-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 907 1176 1764 1814 2721 3528 3628 5442 6349 7256 8163 10884 12698 16326 19047 21768 25396 32652 38094 44443 50792 57141 65304 76188 88886 114282 133329 152376 177772 228564 266658 355544 399987 457128 533316 799974 1066632 1599948 3199896