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73052980 = 225711134189
BaseRepresentation
bin1000101101010…
…11001100110100
312002110110211221
410112223030310
5122200143410
611125440124
71544640310
oct426531464
9162413757
1073052980
1138266870
1220570044
131219a320
1499b8b40
1566304da
hex45ab334

73052980 has 192 divisors, whose sum is σ = 213373440. Its totient is φ = 20275200.

The previous prime is 73052971. The next prime is 73052983. The reversal of 73052980 is 8925037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73052983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 820776 + ... + 820864.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 273052980 is an apocalyptic number.

73052980 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 73052980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

73052980 is an abundant number, since it is smaller than the sum of its proper divisors (140320460).

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

73052980 is a wasteful number, since it uses less digits than its factorization.

73052980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 73052980 is about 8547.1036029757. The cubic root of 73052980 is about 418.0350008465.

The spelling of 73052980 in words is "seventy-three million, fifty-two thousand, nine hundred eighty".