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68067216 = 243574161
BaseRepresentation
bin1000000111010…
…01111110010000
311202002011200000
410003221332100
5114411122331
610430530000
71454363460
oct403517620
9152064600
1068067216
11354709a8
121a966900
1311142b79
14907bba0
155e980e6
hex40e9f90

68067216 has 240 divisors, whose sum is σ = 235068288. Its totient is φ = 18662400.

The previous prime is 68067199. The next prime is 68067229. The reversal of 68067216 is 61276086.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1115826 + ... + 1115886.

Almost surely, 268067216 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 68067216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117534144).

68067216 is an abundant number, since it is smaller than the sum of its proper divisors (167001072).

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

68067216 is a wasteful number, since it uses less digits than its factorization.

68067216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 68067216 is about 8250.2858132310. The cubic root of 68067216 is about 408.2999524380.

It can be divided in two parts, 680 and 67216, that added together give a triangular number (67896 = T368).

The spelling of 68067216 in words is "sixty-eight million, sixty-seven thousand, two hundred sixteen".