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16384680 = 2334513389
BaseRepresentation
bin111110100000…
…001010101000
31010211102120000
4332200022220
513143302210
61343103000
7256160514
oct76401250
933742500
1016384680
119281064
1255a1a60
1335189a0
142267144
151689ac0
hexfa02a8

16384680 has 160 divisors (see below), whose sum is σ = 59459400. Its totient is φ = 4022784.

The previous prime is 16384639. The next prime is 16384691. The reversal of 16384680 is 8648361.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7986276 + 8398404 = 2826^2 + 2898^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41926 + ... + 42314.

Almost surely, 216384680 is an apocalyptic number.

16384680 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 16384680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29729700).

16384680 is an abundant number, since it is smaller than the sum of its proper divisors (43074720).

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

16384680 is a wasteful number, since it uses less digits than its factorization.

16384680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 412 counting only the distinct ones).

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

The square root of 16384680 is about 4047.7994021443. The cubic root of 16384680 is about 253.9876820447.

The spelling of 16384680 in words is "sixteen million, three hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 389 390 405 468 520 540 585 648 702 778 780 810 936 1053 1080 1167 1170 1404 1556 1560 1620 1755 1945 2106 2334 2340 2808 3112 3240 3501 3510 3890 4212 4668 4680 5057 5265 5835 7002 7020 7780 8424 9336 10114 10503 10530 11670 14004 14040 15171 15560 17505 20228 21006 21060 23340 25285 28008 30342 31509 35010 40456 42012 42120 45513 46680 50570 52515 60684 63018 70020 75855 84024 91026 101140 105030 121368 126036 136539 140040 151710 157545 182052 202280 210060 227565 252072 273078 303420 315090 364104 409617 420120 455130 546156 606840 630180 682695 819234 910260 1092312 1260360 1365390 1638468 1820520 2048085 2730780 3276936 4096170 5461560 8192340 16384680