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73089016 = 23711139127
BaseRepresentation
bin1000101101100…
…11111111111000
312002112022021121
410112303333320
5122202322031
611130315024
71545150340
oct426637770
9162468247
1073089016
1138290950
1220588a74
13121b0850
1499c7d20
15663b011
hex45b3ff8

73089016 has 64 divisors (see below), whose sum is σ = 184020480. Its totient is φ = 26282880.

The previous prime is 73089011. The next prime is 73089017. The reversal of 73089016 is 61098037.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73089011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3445 + ... + 12571.

It is an arithmetic number, because the mean of its divisors is an integer number (2875320).

Almost surely, 273089016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73089016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92010240).

73089016 is an abundant number, since it is smaller than the sum of its proper divisors (110931464).

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

73089016 is a wasteful number, since it uses less digits than its factorization.

73089016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164 (or 9160 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 73089016 is about 8549.2114256228. The cubic root of 73089016 is about 418.1037264617.

The spelling of 73089016 in words is "seventy-three million, eighty-nine thousand, sixteen".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 9127 18254 36508 63889 73016 100397 118651 127778 200794 237302 255556 401588 474604 511112 702779 803176 830557 949208 1305161 1405558 1661114 2610322 2811116 3322228 5220644 5622232 6644456 9136127 10441288 18272254 36544508 73089016