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16466940 = 22325721867
BaseRepresentation
bin111110110100…
…001111111100
31010222121101200
4332310033330
513203420230
61344535500
7256652400
oct76641774
933877350
1016466940
119327946
125621590
133547269
142289100
1516a4160
hexfb43fc

16466940 has 108 divisors (see below), whose sum is σ = 58135896. Its totient is φ = 3761856.

The previous prime is 16466927. The next prime is 16466969. The reversal of 16466940 is 4966461.

16466940 is a `hidden beast` number, since 1 + 646 + 6 + 9 + 4 + 0 = 666.

It is a super-2 number, since 2×164669402 = 542320225927200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 16466895 and 16466904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7887 + ... + 9753.

Almost surely, 216466940 is an apocalyptic number.

16466940 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 16466940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29067948).

16466940 is an abundant number, since it is smaller than the sum of its proper divisors (41668956).

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

16466940 is a wasteful number, since it uses less digits than its factorization.

16466940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 16466940 is about 4057.9477571797. The cubic root of 16466940 is about 254.4120247668.

The spelling of 16466940 in words is "sixteen million, four hundred sixty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 1867 2205 2940 3734 4410 5601 7468 8820 9335 11202 13069 16803 18670 22404 26138 28005 33606 37340 39207 52276 56010 65345 67212 78414 84015 91483 112020 117621 130690 156828 168030 182966 196035 235242 261380 274449 336060 365932 392070 457415 470484 548898 588105 784140 823347 914830 1097796 1176210 1372245 1646694 1829660 2352420 2744490 3293388 4116735 5488980 8233470 16466940