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16966040 = 2357135979
BaseRepresentation
bin100000010111…
…0000110011000
31011220222000212
41000232012120
513320403130
61403350252
7264131450
oct100560630
934828025
1016966040
119638923
125822388
1336904a0
142378d60
151751e95
hex102e198

16966040 has 128 divisors (see below), whose sum is σ = 48384000. Its totient is φ = 5211648.

The previous prime is 16966039. The next prime is 16966049. The reversal of 16966040 is 4066961.

It is a junction number, because it is equal to n+sod(n) for n = 16965988 and 16966006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16966049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214721 + ... + 214799.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 216966040 is an apocalyptic number.

16966040 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 16966040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192000).

16966040 is an abundant number, since it is smaller than the sum of its proper divisors (31417960).

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

16966040 is a wasteful number, since it uses less digits than its factorization.

16966040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 16966040 is about 4118.9853119427. The cubic root of 16966040 is about 256.9568278251.

The spelling of 16966040 in words is "sixteen million, nine hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 59 65 70 79 91 104 118 130 140 158 182 236 260 280 295 316 364 395 413 455 472 520 553 590 632 728 767 790 826 910 1027 1106 1180 1534 1580 1652 1820 2054 2065 2212 2360 2765 3068 3160 3304 3640 3835 4108 4130 4424 4661 5135 5369 5530 6136 7189 7670 8216 8260 9322 10270 10738 11060 14378 15340 16520 18644 20540 21476 22120 23305 26845 28756 30680 32627 35945 37288 41080 42952 46610 53690 57512 60593 65254 71890 93220 107380 121186 130508 143780 163135 186440 214760 242372 261016 287560 302965 326270 424151 484744 605930 652540 848302 1211860 1305080 1696604 2120755 2423720 3393208 4241510 8483020 16966040