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68573400 = 23352729563
BaseRepresentation
bin1000001011001…
…01100011011000
311210000220000120
410011211203120
5120023322100
610445433240
71461602310
oct405454330
9153026016
1068573400
1135787235
121ab6b820
131128c39c
149170440
1560480a0
hex41658d8

68573400 has 192 divisors, whose sum is σ = 251769600. Its totient is φ = 15106560.

The previous prime is 68573387. The next prime is 68573437. The reversal of 68573400 is 437586.

It is a super-2 number, since 2×685734002 = 9404622375120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121519 + ... + 122081.

It is an arithmetic number, because the mean of its divisors is an integer number (1311300).

Almost surely, 268573400 is an apocalyptic number.

68573400 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 68573400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125884800).

68573400 is an abundant number, since it is smaller than the sum of its proper divisors (183196200).

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

68573400 is a wasteful number, since it uses less digits than its factorization.

68573400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 68573400 is about 8280.9057475617. The cubic root of 68573400 is about 409.3095657123.

The spelling of 68573400 in words is "sixty-eight million, five hundred seventy-three thousand, four hundred".