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16122420 = 22325432083
BaseRepresentation
bin111101100000…
…001000110100
31010100002210200
4331200020310
513111404140
61333320500
7254016066
oct75401064
933302720
1016122420
119112016
125496130
1334564c2
1421d9736
151637030
hexf60234

16122420 has 72 divisors (see below), whose sum is σ = 50066016. Its totient is φ = 4197312.

The previous prime is 16122413. The next prime is 16122427. The reversal of 16122420 is 2422161.

It is an interprime number because it is at equal distance from previous prime (16122413) and next prime (16122427).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 16122393 and 16122402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16122427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6699 + ... + 8781.

Almost surely, 216122420 is an apocalyptic number.

16122420 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 16122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25033008).

16122420 is an abundant number, since it is smaller than the sum of its proper divisors (33943596).

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

16122420 is a wasteful number, since it uses less digits than its factorization.

16122420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 16122420 is about 4015.2733406332. The cubic root of 16122420 is about 252.6252425768.

Adding to 16122420 its reverse (2422161), we get a palindrome (18544581).

The spelling of 16122420 in words is "sixteen million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2083 2580 3870 4166 6249 7740 8332 10415 12498 18747 20830 24996 31245 37494 41660 62490 74988 89569 93735 124980 179138 187470 268707 358276 374940 447845 537414 806121 895690 1074828 1343535 1612242 1791380 2687070 3224484 4030605 5374140 8061210 16122420