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16946220 = 223553732
BaseRepresentation
bin100000010100…
…1010000101100
31011212221211210
41000221100230
513314234340
61403114420
7264016614
oct100512054
934787753
1016946220
119624a45
125812a10
133684465
142371a44
15174b180
hex102942c

16946220 has 72 divisors (see below), whose sum is σ = 49016016. Its totient is φ = 4372992.

The previous prime is 16946213. The next prime is 16946221. The reversal of 16946220 is 2264961.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (16946221) 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, 232104 + ... + 232176.

It is an arithmetic number, because the mean of its divisors is an integer number (680778).

Almost surely, 216946220 is an apocalyptic number.

16946220 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 16946220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24508008).

16946220 is an abundant number, since it is smaller than the sum of its proper divisors (32069796).

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

16946220 is a wasteful number, since it uses less digits than its factorization.

16946220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 16946220 is about 4116.5786765225. The cubic root of 16946220 is about 256.8567284735.

The spelling of 16946220 in words is "sixteen million, nine hundred forty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 73 106 146 159 212 219 265 292 318 365 438 530 636 730 795 876 1060 1095 1460 1590 2190 3180 3869 4380 5329 7738 10658 11607 15476 15987 19345 21316 23214 26645 31974 38690 46428 53290 58035 63948 77380 79935 106580 116070 159870 232140 282437 319740 564874 847311 1129748 1412185 1694622 2824370 3389244 4236555 5648740 8473110 16946220