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68006740 = 22529373169
BaseRepresentation
bin1000000110110…
…11001101010100
311201222002201011
410003123031110
5114402203430
610425342004
71454022244
oct403331524
9151862634
1068006740
113542a51a
121a937904
1311121499
149063b24
155e8522a
hex40db354

68006740 has 48 divisors (see below), whose sum is σ = 151779600. Its totient is φ = 25546752.

The previous prime is 68006737. The next prime is 68006747. The reversal of 68006740 is 4760086.

It can be written as a sum of positive squares in 8 ways, for example, as 7851204 + 60155536 = 2802^2 + 7756^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68006747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19876 + ... + 23044.

It is an arithmetic number, because the mean of its divisors is an integer number (3162075).

Almost surely, 268006740 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 68006740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75889800).

68006740 is an abundant number, since it is smaller than the sum of its proper divisors (83772860).

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

68006740 is a wasteful number, since it uses less digits than its factorization.

68006740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 68006740 is about 8246.6199136373. The cubic root of 68006740 is about 408.1789952145.

The spelling of 68006740 in words is "sixty-eight million, six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 290 370 580 740 1073 2146 3169 4292 5365 6338 10730 12676 15845 21460 31690 63380 91901 117253 183802 234506 367604 459505 469012 586265 919010 1172530 1838020 2345060 3400337 6800674 13601348 17001685 34003370 68006740