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73426080 = 2535713412
BaseRepresentation
bin1000110000001…
…10010010100000
312010011102122110
410120012102200
5122244113310
611141435320
71551053130
oct430062240
9163142573
1073426080
11384a1112
122070bb40
131229b0b0
149a74ac0
1566a5d20
hex46064a0

73426080 has 288 divisors, whose sum is σ = 291779712. Its totient is φ = 15114240.

The previous prime is 73426063. The next prime is 73426081. The reversal of 73426080 is 8062437.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73426081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1790860 + ... + 1790900.

It is an arithmetic number, because the mean of its divisors is an integer number (1013124).

Almost surely, 273426080 is an apocalyptic number.

73426080 is a gapful number since it is divisible by the number (70) 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 73426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145889856).

73426080 is an abundant number, since it is smaller than the sum of its proper divisors (218353632).

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

73426080 is a wasteful number, since it uses less digits than its factorization.

73426080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 73426080 is about 8568.9019133142. The cubic root of 73426080 is about 418.7454627859.

The spelling of 73426080 in words is "seventy-three million, four hundred twenty-six thousand, eighty".