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268196880 = 24357263607
BaseRepresentation
bin11111111110001…
…01110000010000
3200200122210221210
433333011300100
51022124300010
642340220120
76434431050
oct1777056020
9620583853
10268196880
11128432316
127599a640
13437441a3
1427895560
151882ab20
hexffc5c10

268196880 has 160 divisors (see below), whose sum is σ = 955367424. Its totient is φ = 60968448.

The previous prime is 268196869. The next prime is 268196881. The reversal of 268196880 is 88691862.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (268196881) 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, 441537 + ... + 442143.

Almost surely, 2268196880 is an apocalyptic number.

268196880 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 268196880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477683712).

268196880 is an abundant number, since it is smaller than the sum of its proper divisors (687170544).

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

268196880 is a wasteful number, since it uses less digits than its factorization.

268196880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 268196880 is about 16376.7176198407. The cubic root of 268196880 is about 644.8884128817. Note that the first 3 decimals are identical.

The spelling of 268196880 in words is "two hundred sixty-eight million, one hundred ninety-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 263 280 336 420 526 560 607 789 840 1052 1214 1315 1578 1680 1821 1841 2104 2428 2630 3035 3156 3642 3682 3945 4208 4249 4856 5260 5523 6070 6312 7284 7364 7890 8498 9105 9205 9712 10520 11046 12140 12624 12747 14568 14728 15780 16996 18210 18410 21040 21245 22092 24280 25494 27615 29136 29456 31560 33992 36420 36820 42490 44184 48560 50988 55230 63120 63735 67984 72840 73640 84980 88368 101976 110460 127470 145680 147280 159641 169960 203952 220920 254940 319282 339920 441840 478923 509880 638564 798205 957846 1019760 1117487 1277128 1596410 1915692 2234974 2394615 2554256 3192820 3352461 3831384 4469948 4789230 5587435 6385640 6704922 7662768 8939896 9578460 11174870 12771280 13409844 16762305 17879792 19156920 22349740 26819688 33524610 38313840 44699480 53639376 67049220 89398960 134098440 268196880