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96891960 = 23351126673
BaseRepresentation
bin1011100011001…
…11010000111000
320202022121210010
411301213100320
5144301020320
613340421520
72254365564
oct561472070
9222277703
1096891960
114a769400
12285478a0
13170c5c29
14cc226a4
15878dae0
hex5c67438

96891960 has 96 divisors (see below), whose sum is σ = 319551120. Its totient is φ = 23485440.

The previous prime is 96891941. The next prime is 96891989. The reversal of 96891960 is 6919869.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11184 + ... + 17856.

Almost surely, 296891960 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 96891960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159775560).

96891960 is an abundant number, since it is smaller than the sum of its proper divisors (222659160).

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

96891960 is a wasteful number, since it uses less digits than its factorization.

96891960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709 (or 6694 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 96891960 is about 9843.3713736707. The cubic root of 96891960 is about 459.2994377080.

The spelling of 96891960 in words is "ninety-six million, eight hundred ninety-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 6673 7260 13346 14520 20019 26692 33365 40038 53384 66730 73403 80076 100095 133460 146806 160152 200190 220209 266920 293612 367015 400380 440418 587224 734030 800760 807433 880836 1101045 1468060 1614866 1761672 2202090 2422299 2936120 3229732 4037165 4404180 4844598 6459464 8074330 8808360 9689196 12111495 16148660 19378392 24222990 32297320 48445980 96891960