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68460128 = 2511434523
BaseRepresentation
bin1000001010010…
…01111001100000
311202211010122022
410011021321200
5120011211003
610443201012
71460621132
oct405117140
9152733568
1068460128
113570a120
121ab16168
131124c969
149141052
156024738
hex4149e60

68460128 has 48 divisors (see below), whose sum is σ = 150486336. Its totient is φ = 30387840.

The previous prime is 68460127. The next prime is 68460137. The reversal of 68460128 is 82106486.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68460127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12875 + ... + 17397.

It is an arithmetic number, because the mean of its divisors is an integer number (3135132).

Almost surely, 268460128 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 68460128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75243168).

68460128 is an abundant number, since it is smaller than the sum of its proper divisors (82026208).

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

68460128 is a wasteful number, since it uses less digits than its factorization.

68460128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4587 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 68460128 is about 8274.0635723930. The cubic root of 68460128 is about 409.0840707693.

The spelling of 68460128 in words is "sixty-eight million, four hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 344 352 473 688 946 1376 1892 3784 4523 7568 9046 15136 18092 36184 49753 72368 99506 144736 194489 199012 388978 398024 777956 796048 1555912 1592096 2139379 3111824 4278758 6223648 8557516 17115032 34230064 68460128