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68428500 = 223537419
BaseRepresentation
bin1000001010000…
…10001011010100
311202202112020220
410011002023110
5120004203000
610442354340
71460430000
oct405021324
9152675226
1068428500
1135698388
121aabb9b0
131123b44a
149133700
15601a1a0
hex41422d4

68428500 has 240 divisors, whose sum is σ = 244695360. Its totient is φ = 14817600.

The previous prime is 68428483. The next prime is 68428511. The reversal of 68428500 is 582486.

It is a super-2 number, since 2×684285002 = 9364919224500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3601491 + ... + 3601509.

It is an arithmetic number, because the mean of its divisors is an integer number (1019564).

Almost surely, 268428500 is an apocalyptic number.

68428500 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 68428500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122347680).

68428500 is an abundant number, since it is smaller than the sum of its proper divisors (176266860).

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

68428500 is a wasteful number, since it uses less digits than its factorization.

68428500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 68428500 is about 8272.1520779057. The cubic root of 68428500 is about 409.0210632720.

The spelling of 68428500 in words is "sixty-eight million, four hundred twenty-eight thousand, five hundred".