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16202420 = 22513101617
BaseRepresentation
bin111101110011…
…101010110100
31010111011112122
4331303222310
513121434140
61335135112
7254501243
oct75635264
933434478
1016202420
119167133
125514498
133483a40
14221a95a
151650ab5
hexf73ab4

16202420 has 48 divisors (see below), whose sum is σ = 37065168. Its totient is φ = 5913600.

The previous prime is 16202371. The next prime is 16202447. The reversal of 16202420 is 2420261.

It can be written as a sum of positive squares in 8 ways, for example, as 1240996 + 14961424 = 1114^2 + 3868^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25952 + ... + 26568.

It is an arithmetic number, because the mean of its divisors is an integer number (772191).

Almost surely, 216202420 is an apocalyptic number.

16202420 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 16202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18532584).

16202420 is an abundant number, since it is smaller than the sum of its proper divisors (20862748).

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

16202420 is a wasteful number, since it uses less digits than its factorization.

16202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 16202420 is about 4025.2229751903. Note that the first 3 decimals coincide. The cubic root of 16202420 is about 253.0423983894.

Adding to 16202420 its reverse (2420261), we get a palindrome (18622681).

It can be divided in two parts, 1620 and 2420, that multiplied together give a square (3920400 = 19802).

The spelling of 16202420 in words is "sixteen million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 617 1010 1234 1313 2020 2468 2626 3085 5252 6170 6565 8021 12340 13130 16042 26260 32084 40105 62317 80210 124634 160420 249268 311585 623170 810121 1246340 1620242 3240484 4050605 8101210 16202420