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16420032 = 263229983
BaseRepresentation
bin111110101000…
…110011000000
31010220020001100
4332220303000
513200420112
61343534400
7256365546
oct76506300
933806040
1016420032
1192a5682
1255ba400
13352bac5
142275d96
1516952dc
hexfa8cc0

16420032 has 84 divisors (see below), whose sum is σ = 48737520. Its totient is φ = 5279232.

The previous prime is 16420031. The next prime is 16420043. The reversal of 16420032 is 23002461.

It is a happy number.

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 = 16419987 and 16420014.

It is not an unprimeable number, because it can be changed into a prime (16420031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16213 + ... + 17195.

Almost surely, 216420032 is an apocalyptic number.

16420032 is a gapful number since it is divisible by the number (12) 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 16420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24368760).

16420032 is an abundant number, since it is smaller than the sum of its proper divisors (32317488).

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

16420032 is a wasteful number, since it uses less digits than its factorization.

16420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 16420032 is about 4052.1638663805. The cubic root of 16420032 is about 254.1702209064.

Adding to 16420032 its reverse (23002461), we get a palindrome (39422493).

The spelling of 16420032 in words is "sixteen million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 983 1044 1392 1856 1966 2088 2784 2949 3932 4176 5568 5898 7864 8352 8847 11796 15728 16704 17694 23592 28507 31456 35388 47184 57014 62912 70776 85521 94368 114028 141552 171042 188736 228056 256563 283104 342084 456112 513126 566208 684168 912224 1026252 1368336 1824448 2052504 2736672 4105008 5473344 8210016 16420032