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73150560 = 2533574159
BaseRepresentation
bin1000101110000…
…11000001100000
312002122102201000
410113003001200
5122211304220
611131512000
71545524640
oct427030140
9162572630
1073150560
113832310a
12205b8600
1312202872
149a02520
15664e390
hex45c3060

73150560 has 384 divisors, whose sum is σ = 304819200. Its totient is φ = 16035840.

The previous prime is 73150549. The next prime is 73150573. The reversal of 73150560 is 6505137.

73150560 is a nontrivial binomial coefficient, being equal to C(12096, 2).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1239811 + ... + 1239869.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 273150560 is an apocalyptic number.

73150560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

73150560 is the 12095-th triangular number and also the 6048-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73150560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

73150560 is an abundant number, since it is smaller than the sum of its proper divisors (231668640).

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

73150560 is a wasteful number, since it uses less digits than its factorization.

73150560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 73150560 is about 8552.8100645343. The cubic root of 73150560 is about 418.2210471304.

Adding to 73150560 its reverse (6505137), we get a palindrome (79655697).

The spelling of 73150560 in words is "seventy-three million, one hundred fifty thousand, five hundred sixty".