Search a number
-
+
68002980 = 22351577219
BaseRepresentation
bin1000000110110…
…10010010100100
311201221220112220
410003122102210
5114402043410
610425312340
71454005263
oct403322244
9151856486
1068002980
1135427711
121a9356b0
131111c866
1490625da
155e84070
hex40da4a4

68002980 has 48 divisors (see below), whose sum is σ = 191647680. Its totient is φ = 18016128.

The previous prime is 68002951. The next prime is 68002993. The reversal of 68002980 is 8920086.

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, 5811 + ... + 13029.

It is an arithmetic number, because the mean of its divisors is an integer number (3992660).

Almost surely, 268002980 is an apocalyptic number.

68002980 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 68002980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95823840).

68002980 is an abundant number, since it is smaller than the sum of its proper divisors (123644700).

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

68002980 is a wasteful number, since it uses less digits than its factorization.

68002980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7388 (or 7386 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 68002980 is about 8246.3919382964. The cubic root of 68002980 is about 408.1714725224.

The spelling of 68002980 in words is "sixty-eight million, two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2355 3140 4710 7219 9420 14438 21657 28876 36095 43314 72190 86628 108285 144380 216570 433140 1133383 2266766 3400149 4533532 5666915 6800298 11333830 13600596 17000745 22667660 34001490 68002980