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68988240 = 2433519412
BaseRepresentation
bin1000001110010…
…10110101010000
311210210222002000
410013022311100
5120130110430
610502354000
71465250616
oct407126520
9153728060
1068988240
1135a3a982
121b12b900
13113a6159
14923b6b6
1560cae60
hex41cad50

68988240 has 240 divisors, whose sum is σ = 256382400. Its totient is φ = 17003520.

The previous prime is 68988223. The next prime is 68988253. The reversal of 68988240 is 4288986.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1682620 + ... + 1682660.

It is an arithmetic number, because the mean of its divisors is an integer number (1068260).

Almost surely, 268988240 is an apocalyptic number.

68988240 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 68988240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128191200).

68988240 is an abundant number, since it is smaller than the sum of its proper divisors (187394160).

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

68988240 is a wasteful number, since it uses less digits than its factorization.

68988240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 68988240 is about 8305.9159639380. The cubic root of 68988240 is about 410.1332899964.

The spelling of 68988240 in words is "sixty-eight million, nine hundred eighty-eight thousand, two hundred forty".