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16864940 = 22541131157
BaseRepresentation
bin100000001010…
…1011010101100
31011201211100102
41000111122230
513304134230
61401250232
7263230631
oct100253254
934654312
1016864940
119579974
125793978
133656471
142350188
151732045
hex10156ac

16864940 has 48 divisors (see below), whose sum is σ = 36789984. Its totient is φ = 6489600.

The previous prime is 16864937. The next prime is 16864943. The reversal of 16864940 is 4946861.

It is an interprime number because it is at equal distance from previous prime (16864937) and next prime (16864943).

It is a junction number, because it is equal to n+sod(n) for n = 16864894 and 16864903.

It is not an unprimeable number, because it can be changed into a prime (16864943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107342 + ... + 107498.

It is an arithmetic number, because the mean of its divisors is an integer number (766458).

Almost surely, 216864940 is an apocalyptic number.

16864940 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 16864940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18394992).

16864940 is an abundant number, since it is smaller than the sum of its proper divisors (19925044).

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

16864940 is a wasteful number, since it uses less digits than its factorization.

16864940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 16864940 is about 4106.6945345375. The cubic root of 16864940 is about 256.4454119199.

The spelling of 16864940 in words is "sixteen million, eight hundred sixty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 82 131 157 164 205 262 314 410 524 628 655 785 820 1310 1570 2620 3140 5371 6437 10742 12874 20567 21484 25748 26855 32185 41134 53710 64370 82268 102835 107420 128740 205670 411340 843247 1686494 3372988 4216235 8432470 16864940