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68772480 = 2735721743
BaseRepresentation
bin1000001100101…
…10001010000000
311210102000002220
410012112022000
5120101204410
610454011040
71463361600
oct406261200
9153360086
1068772480
1135902867
121b046a80
131132bb9a
1491c2c00
156087070
hex4196280

68772480 has 384 divisors, whose sum is σ = 276281280. Its totient is φ = 14450688.

The previous prime is 68772479. The next prime is 68772491. The reversal of 68772480 is 8427786.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1599339 + ... + 1599381.

Almost surely, 268772480 is an apocalyptic number.

68772480 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 68772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138140640).

68772480 is an abundant number, since it is smaller than the sum of its proper divisors (207508800).

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

68772480 is a wasteful number, since it uses less digits than its factorization.

68772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 68772480 is about 8292.9174600981. The cubic root of 68772480 is about 409.7052809610.

The spelling of 68772480 in words is "sixty-eight million, seven hundred seventy-two thousand, four hundred eighty".