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16378680 = 2335413329
BaseRepresentation
bin111110011110…
…101100111000
31010211010022210
4332132230320
513143104210
61343015120
7256134153
oct76365470
933733283
1016378680
1192775aa
12559a4a0
133516036
142264c9a
151687e20
hexf9eb38

16378680 has 64 divisors (see below), whose sum is σ = 50349600. Its totient is φ = 4259840.

The previous prime is 16378673. The next prime is 16378693. The reversal of 16378680 is 8687361.

It is a super-2 number, since 2×163786802 = 536522317084800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3256 + ... + 6584.

Almost surely, 216378680 is an apocalyptic number.

16378680 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 16378680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25174800).

16378680 is an abundant number, since it is smaller than the sum of its proper divisors (33970920).

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

16378680 is a wasteful number, since it uses less digits than its factorization.

16378680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 16378680 is about 4047.0581908344. The cubic root of 16378680 is about 253.9566751905.

The spelling of 16378680 in words is "sixteen million, three hundred seventy-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 3329 4920 6658 9987 13316 16645 19974 26632 33290 39948 49935 66580 79896 99870 133160 136489 199740 272978 399480 409467 545956 682445 818934 1091912 1364890 1637868 2047335 2729780 3275736 4094670 5459560 8189340 16378680