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16864380 = 22325137207
BaseRepresentation
bin100000001010…
…1010001111100
31011201210120200
41000111101330
513304130010
61401243500
7263226201
oct100252174
934653520
1016864380
119579505
125793590
133656130
14234dca8
151731cc0
hex101547c

16864380 has 72 divisors (see below), whose sum is σ = 55097952. Its totient is φ = 4150656.

The previous prime is 16864373. The next prime is 16864409. The reversal of 16864380 is 8346861.

It is a happy number.

16864380 is a `hidden beast` number, since 1 + 6 + 8 + 643 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1264 + ... + 5943.

Almost surely, 216864380 is an apocalyptic number.

16864380 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 16864380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27548976).

16864380 is an abundant number, since it is smaller than the sum of its proper divisors (38233572).

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

16864380 is a wasteful number, since it uses less digits than its factorization.

16864380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7235 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 16864380 is about 4106.6263526160. The cubic root of 16864380 is about 256.4425734669.

The spelling of 16864380 in words is "sixteen million, eight hundred sixty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 7207 14414 21621 28828 36035 43242 64863 72070 86484 93691 108105 129726 144140 187382 216210 259452 281073 324315 374764 432420 468455 562146 648630 843219 936910 1124292 1297260 1405365 1686438 1873820 2810730 3372876 4216095 5621460 8432190 16864380