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16198416 = 24321317509
BaseRepresentation
bin111101110010…
…101100010000
31010110222001100
4331302230100
513121322131
61335104400
7254453463
oct75625420
933428040
1016198416
119164123
125512100
133481c80
1422192da
15164e7e6
hexf72b10

16198416 has 120 divisors (see below), whose sum is σ = 51793560. Its totient is φ = 4681728.

The previous prime is 16198387. The next prime is 16198423. The reversal of 16198416 is 61489161.

It is a happy number.

16198416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3920400 + 12278016 = 1980^2 + 3504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31570 + ... + 32078.

It is an arithmetic number, because the mean of its divisors is an integer number (431613).

Almost surely, 216198416 is an apocalyptic number.

16198416 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 16198416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25896780).

16198416 is an abundant number, since it is smaller than the sum of its proper divisors (35595144).

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

16198416 is a wasteful number, since it uses less digits than its factorization.

16198416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 544 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 16198416 is about 4024.7255807073. The cubic root of 16198416 is about 253.0215524246.

The spelling of 16198416 in words is "sixteen million, one hundred ninety-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 509 612 624 663 816 884 936 1018 1224 1326 1527 1768 1872 1989 2036 2448 2652 3054 3536 3978 4072 4581 5304 6108 6617 7956 8144 8653 9162 10608 12216 13234 15912 17306 18324 19851 24432 25959 26468 31824 34612 36648 39702 51918 52936 59553 69224 73296 77877 79404 103836 105872 112489 119106 138448 155754 158808 207672 224978 238212 311508 317616 337467 415344 449956 476424 623016 674934 899912 952848 1012401 1246032 1349868 1799824 2024802 2699736 4049604 5399472 8099208 16198416