Search a number
-
+
68001080 = 23572111151
BaseRepresentation
bin1000000110110…
…01110100111000
311201221210221112
410003121310320
5114402013310
610425255452
71453666610
oct403316470
9151853845
1068001080
1135426244
121a934588
131111ba34
149061a40
155e83705
hex40d9d38

68001080 has 64 divisors (see below), whose sum is σ = 175841280. Its totient is φ = 23184000.

The previous prime is 68001077. The next prime is 68001097. The reversal of 68001080 is 8010086.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58505 + ... + 59655.

It is an arithmetic number, because the mean of its divisors is an integer number (2747520).

Almost surely, 268001080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68001080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87920640).

68001080 is an abundant number, since it is smaller than the sum of its proper divisors (107840200).

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

68001080 is a wasteful number, since it uses less digits than its factorization.

68001080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 68001080 is about 8246.2767355941. The cubic root of 68001080 is about 408.1676710565.

The spelling of 68001080 in words is "sixty-eight million, one thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 211 280 422 844 1055 1151 1477 1688 2110 2302 2954 4220 4604 5755 5908 7385 8057 8440 9208 11510 11816 14770 16114 23020 29540 32228 40285 46040 59080 64456 80570 161140 242861 322280 485722 971444 1214305 1700027 1942888 2428610 3400054 4857220 6800108 8500135 9714440 13600216 17000270 34000540 68001080