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73480680 = 233257132243
BaseRepresentation
bin1000110000100…
…11100111101000
312010021012112200
410120103213220
5122302340210
611142540200
71551401250
oct430234750
9163235480
1073480680
1138529139
1220737660
13122b9bc0
149a8a960
1566b70c0
hex46139e8

73480680 has 192 divisors, whose sum is σ = 294053760. Its totient is φ = 15496704.

The previous prime is 73480663. The next prime is 73480703. The reversal of 73480680 is 8608437.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 31639 + ... + 33881.

It is an arithmetic number, because the mean of its divisors is an integer number (1531530).

Almost surely, 273480680 is an apocalyptic number.

73480680 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 73480680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147026880).

73480680 is an abundant number, since it is smaller than the sum of its proper divisors (220573080).

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

73480680 is a wasteful number, since it uses less digits than its factorization.

73480680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 73480680 is about 8572.0872604051. The cubic root of 73480680 is about 418.8492308089.

The spelling of 73480680 in words is "seventy-three million, four hundred eighty thousand, six hundred eighty".