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59220096 = 2731311863
BaseRepresentation
bin1110000111101…
…0000010000000
311010102200200220
43201322002000
5110130020341
65513143040
71316235225
oct341720200
9133380626
1059220096
1130478a31
12179baa80
13c365ca0
147c1794c
1552eba66
hex387a080

59220096 has 64 divisors (see below), whose sum is σ = 169417920. Its totient is φ = 18220032.

The previous prime is 59220079. The next prime is 59220121. The reversal of 59220096 is 69002295.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 940 + ... + 10923.

It is an arithmetic number, because the mean of its divisors is an integer number (2647155).

Almost surely, 259220096 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 59220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84708960).

59220096 is an abundant number, since it is smaller than the sum of its proper divisors (110197824).

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

59220096 is a wasteful number, since it uses less digits than its factorization.

59220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11893 (or 11881 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 59220096 is about 7695.4594404753. The cubic root of 59220096 is about 389.7831272862.

The spelling of 59220096 in words is "fifty-nine million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 11863 23726 35589 47452 71178 94904 142356 154219 189808 284712 308438 379616 462657 569424 616876 759232 925314 1138848 1233752 1518464 1850628 2277696 2467504 3701256 4555392 4935008 7402512 9870016 14805024 19740032 29610048 59220096