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68999040 = 27345113
BaseRepresentation
bin1000001110011…
…01011110000000
311210211111220000
410013031132000
5120130432130
610502520000
71465324245
oct407153600
9153744800
1068999040
1135a48000
121b136000
13113ab046
1492415cc
1560ce260
hex41cd780

68999040 has 320 divisors, whose sum is σ = 271030320. Its totient is φ = 16727040.

The previous prime is 68999017. The next prime is 68999093. The reversal of 68999040 is 4099986.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 6272635 + ... + 6272645.

Almost surely, 268999040 is an apocalyptic number.

68999040 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 68999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135515160).

68999040 is an abundant number, since it is smaller than the sum of its proper divisors (202031280).

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

68999040 is an equidigital number, since it uses as much as digits as its factorization.

68999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 68999040 is about 8306.5660775076. The cubic root of 68999040 is about 410.1546907859.

The spelling of 68999040 in words is "sixty-eight million, nine hundred ninety-nine thousand, forty".