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16520192 = 210131773
BaseRepresentation
bin111111000001…
…010000000000
31011002022102222
4333001100000
513212121232
61350030212
7260263553
oct77012000
934068388
1016520192
119363957
125648368
133565580
1422a069a
1516b4d12
hexfc1400

16520192 has 88 divisors (see below), whose sum is σ = 38172456. Its totient is φ = 7077888.

The previous prime is 16520191. The next prime is 16520197. The reversal of 16520192 is 29102561.

It can be written as a sum of positive squares in 4 ways, for example, as 2262016 + 14258176 = 1504^2 + 3776^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16520191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226268 + ... + 226340.

Almost surely, 216520192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16520192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19086228).

16520192 is an abundant number, since it is smaller than the sum of its proper divisors (21652264).

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

16520192 is a wasteful number, since it uses less digits than its factorization.

16520192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 16520192 is about 4064.5039057676. The cubic root of 16520192 is about 254.6859751022.

The spelling of 16520192 in words is "sixteen million, five hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 73 104 128 136 146 208 221 256 272 292 416 442 512 544 584 832 884 949 1024 1088 1168 1241 1664 1768 1898 2176 2336 2482 3328 3536 3796 4352 4672 4964 6656 7072 7592 8704 9344 9928 13312 14144 15184 16133 17408 18688 19856 28288 30368 32266 37376 39712 56576 60736 64532 74752 79424 113152 121472 129064 158848 226304 242944 258128 317696 485888 516256 635392 971776 1032512 1270784 2065024 4130048 8260096 16520192