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68981400 = 233252192017
BaseRepresentation
bin1000001110010…
…01001010011000
311210210121200200
410013021022120
5120124401100
610502302200
71465221645
oct407111230
9153717620
1068981400
1135a35824
121b127960
13113a2cc7
149238dcc
1560c8e00
hex41c9298

68981400 has 144 divisors (see below), whose sum is σ = 243976200. Its totient is φ = 17418240.

The previous prime is 68981389. The next prime is 68981449. The reversal of 68981400 is 418986.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33192 + ... + 35208.

Almost surely, 268981400 is an apocalyptic number.

68981400 is a gapful number since it is divisible by the number (60) 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 68981400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121988100).

68981400 is an abundant number, since it is smaller than the sum of its proper divisors (174994800).

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

68981400 is a wasteful number, since it uses less digits than its factorization.

68981400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 68981400 is about 8305.5041990237. The cubic root of 68981400 is about 410.1197350078.

The spelling of 68981400 in words is "sixty-eight million, nine hundred eighty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 342 360 380 450 456 475 570 600 684 760 855 900 950 1140 1368 1425 1710 1800 1900 2017 2280 2850 3420 3800 4034 4275 5700 6051 6840 8068 8550 10085 11400 12102 16136 17100 18153 20170 24204 30255 34200 36306 38323 40340 48408 50425 60510 72612 76646 80680 90765 100850 114969 121020 145224 151275 153292 181530 191615 201700 229938 242040 302550 306584 344907 363060 383230 403400 453825 459876 574845 605100 689814 726120 766460 907650 919752 958075 1149690 1210200 1379628 1532920 1724535 1815300 1916150 2299380 2759256 2874225 3449070 3630600 3832300 4598760 5748450 6898140 7664600 8622675 11496900 13796280 17245350 22993800 34490700 68981400