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96834080 = 2557312789
BaseRepresentation
bin1011100010110…
…01001000100000
320202012200101102
411301121020200
5144242142310
613335253532
72254035050
oct561311040
9222180342
1096834080
114a729972
122851a2a8
13170a5795
14cc09560
15877b8a5
hex5c59220

96834080 has 96 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 32117760.

The previous prime is 96834079. The next prime is 96834109. The reversal of 96834080 is 8043869.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33326 + ... + 36114.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 296834080 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 96834080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

96834080 is an abundant number, since it is smaller than the sum of its proper divisors (173148640).

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

96834080 is a wasteful number, since it uses less digits than its factorization.

96834080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 96834080 is about 9840.4308848749. The cubic root of 96834080 is about 459.2079628091.

The spelling of 96834080 in words is "ninety-six million, eight hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1736 2170 2480 2789 3472 4340 4960 5578 6944 8680 11156 13945 17360 19523 22312 27890 34720 39046 44624 55780 78092 86459 89248 97615 111560 156184 172918 195230 223120 312368 345836 390460 432295 446240 605213 624736 691672 780920 864590 1210426 1383344 1561840 1729180 2420852 2766688 3026065 3123680 3458360 4841704 6052130 6916720 9683408 12104260 13833440 19366816 24208520 48417040 96834080