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73128016 = 24131720681
BaseRepresentation
bin1000101101111…
…01100001010000
312002121021210001
410112331201100
5122210044031
611131215344
71545402133
oct426754120
9162537701
1073128016
1138308185
12205a7554
13121c5520
1499d821a
156647861
hex45bd850

73128016 has 40 divisors (see below), whose sum is σ = 161567784. Its totient is φ = 31764480.

The previous prime is 73128001. The next prime is 73128019. The reversal of 73128016 is 61082137.

It can be written as a sum of positive squares in 4 ways, for example, as 810000 + 72318016 = 900^2 + 8504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73128019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6805 + ... + 13876.

Almost surely, 273128016 is an apocalyptic number.

It is an amenable number.

73128016 is an abundant number, since it is smaller than the sum of its proper divisors (88439768).

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

73128016 is a wasteful number, since it uses less digits than its factorization.

73128016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20719 (or 20713 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 73128016 is about 8551.4920335577. The cubic root of 73128016 is about 418.1780793846.

The spelling of 73128016 in words is "seventy-three million, one hundred twenty-eight thousand, sixteen".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 20681 41362 82724 165448 268853 330896 351577 537706 703154 1075412 1406308 2150824 2812616 4301648 4570501 5625232 9141002 18282004 36564008 73128016