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206678920 = 23572367479
BaseRepresentation
bin11000101000110…
…10101110001000
3112101220101011211
430110122232020
5410402211140
632301502504
75056512310
oct1424325610
9471811154
10206678920
11a6734a28
1259271a34
1333a85326
141d640440
15132282ea
hexc51ab88

206678920 has 128 divisors (see below), whose sum is σ = 564019200. Its totient is φ = 66629376.

The previous prime is 206678917. The next prime is 206678957. The reversal of 206678920 is 29876602.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431241 + ... + 431719.

It is an arithmetic number, because the mean of its divisors is an integer number (4406400).

Almost surely, 2206678920 is an apocalyptic number.

206678920 is a gapful number since it is divisible by the number (20) 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 206678920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282009600).

206678920 is an abundant number, since it is smaller than the sum of its proper divisors (357340280).

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

206678920 is a wasteful number, since it uses less digits than its factorization.

206678920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 206678920 is about 14376.3319382936. The cubic root of 206678920 is about 591.2421593836.

The spelling of 206678920 in words is "two hundred six million, six hundred seventy-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 67 70 92 115 134 140 161 184 230 268 280 322 335 460 469 479 536 644 670 805 920 938 958 1288 1340 1541 1610 1876 1916 2345 2395 2680 3082 3220 3353 3752 3832 4690 4790 6164 6440 6706 7705 9380 9580 10787 11017 12328 13412 15410 16765 18760 19160 21574 22034 26824 30820 32093 33530 43148 44068 53935 55085 61640 64186 67060 77119 86296 88136 107870 110170 128372 134120 154238 160465 215740 220340 224651 256744 308476 320930 385595 431480 440680 449302 616952 641860 738139 771190 898604 1123255 1283720 1476278 1542380 1797208 2246510 2952556 3084760 3690695 4493020 5166973 5905112 7381390 8986040 10333946 14762780 20667892 25834865 29525560 41335784 51669730 103339460 206678920