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16820232 = 2331113329
BaseRepresentation
bin100000000101…
…0100000001000
31011122120000120
41000022200020
513301221412
61400303240
7262653402
oct100124010
934576016
1016820232
119549320
125771b20
13363c000
14233bb72
151723b8c
hex100a808

16820232 has 128 divisors (see below), whose sum is σ = 51408000. Its totient is φ = 4542720.

The previous prime is 16820189. The next prime is 16820233. The reversal of 16820232 is 23202861.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (16820233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579994 + ... + 580022.

It is an arithmetic number, because the mean of its divisors is an integer number (401625).

Almost surely, 216820232 is an apocalyptic number.

16820232 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 16820232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704000).

16820232 is an abundant number, since it is smaller than the sum of its proper divisors (34587768).

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

16820232 is a wasteful number, since it uses less digits than its factorization.

16820232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 16820232 is about 4101.2476150557. The cubic root of 16820232 is about 256.2186039663.

The spelling of 16820232 in words is "sixteen million, eight hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 29 33 39 44 52 58 66 78 87 88 104 116 132 143 156 169 174 232 264 286 312 319 338 348 377 429 507 572 638 676 696 754 858 957 1014 1131 1144 1276 1352 1508 1716 1859 1914 2028 2197 2262 2552 3016 3432 3718 3828 4056 4147 4394 4524 4901 5577 6591 7436 7656 8294 8788 9048 9802 11154 12441 13182 14703 14872 16588 17576 19604 22308 24167 24882 26364 29406 33176 39208 44616 48334 49764 52728 53911 58812 63713 72501 96668 99528 107822 117624 127426 145002 161733 191139 193336 215644 254852 290004 323466 382278 431288 509704 580008 646932 700843 764556 1293864 1401686 1529112 2102529 2803372 4205058 5606744 8410116 16820232