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75990096 = 24337131933
BaseRepresentation
bin1001000011110…
…00010001010000
312021222200211000
410201320101100
5123423140341
611312422000
71611622320
oct441702120
9167880730
1075990096
1139992536
1221547900
1312988170
14a141280
156a108b6
hex4878450

75990096 has 160 divisors (see below), whose sum is σ = 268593920. Its totient is φ = 20030976.

The previous prime is 75990071. The next prime is 75990143. The reversal of 75990096 is 69009957.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38346 + ... + 40278.

It is an arithmetic number, because the mean of its divisors is an integer number (1678712).

Almost surely, 275990096 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 75990096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134296960).

75990096 is an abundant number, since it is smaller than the sum of its proper divisors (192603824).

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

75990096 is a wasteful number, since it uses less digits than its factorization.

75990096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 75990096 is about 8717.2298352171. The cubic root of 75990096 is about 423.5639578030.

The spelling of 75990096 in words is "seventy-five million, nine hundred ninety thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 1933 2184 2457 2808 3024 3276 3866 4368 4914 5616 5799 6552 7732 9828 11598 13104 13531 15464 17397 19656 23196 25129 27062 30928 34794 39312 40593 46392 50258 52191 54124 69588 75387 81186 92784 100516 104382 108248 121779 139176 150774 162372 175903 201032 208764 216496 226161 243558 278352 301548 324744 351806 365337 402064 417528 452322 487116 527709 603096 649488 678483 703612 730674 835056 904644 974232 1055418 1206192 1356966 1407224 1461348 1583127 1809288 1948464 2110836 2713932 2814448 2922696 3166254 3618576 4221672 4749381 5427864 5845392 6332508 8443344 9498762 10855728 12665016 18997524 25330032 37995048 75990096