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16796820 = 22351312137
BaseRepresentation
bin100000000010…
…0110010010100
31011121100220110
41000010302110
513244444240
61400003020
7262525215
oct100046224
934540813
1016796820
119532777
125760470
133631461
14233340c
15171bc80
hex1004c94

16796820 has 48 divisors (see below), whose sum is σ = 47412288. Its totient is φ = 4442880.

The previous prime is 16796809. The next prime is 16796821. The reversal of 16796820 is 2869761.

16796820 = T219 + T220 + ... + T480.

It is a super-2 number, since 2×167968202 = 564266324224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16796821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6792 + ... + 8928.

It is an arithmetic number, because the mean of its divisors is an integer number (987756).

Almost surely, 216796820 is an apocalyptic number.

16796820 is a gapful number since it is divisible by the number (10) 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 16796820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23706144).

16796820 is an abundant number, since it is smaller than the sum of its proper divisors (30615468).

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

16796820 is a wasteful number, since it uses less digits than its factorization.

16796820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 16796820 is about 4098.3923677462. The cubic root of 16796820 is about 256.0996722883.

The spelling of 16796820 in words is "sixteen million, seven hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2137 2620 3930 4274 6411 7860 8548 10685 12822 21370 25644 32055 42740 64110 128220 279947 559894 839841 1119788 1399735 1679682 2799470 3359364 4199205 5598940 8398410 16796820