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99941280 = 2535593529
BaseRepresentation
bin1011111010011…
…11101110100000
320222001112122220
411331033232200
5201041110110
613530031040
72322325665
oct575175640
9228045586
1099941280
11514613aa
1229578480
1317922b6a
14d3b7a6c
158b92370
hex5f4fba0

99941280 has 96 divisors (see below), whose sum is σ = 320241600. Its totient is φ = 26191872.

The previous prime is 99941267. The next prime is 99941291. The reversal of 99941280 is 8214999.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 26556 + ... + 30084.

It is an arithmetic number, because the mean of its divisors is an integer number (3335850).

Almost surely, 299941280 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 99941280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160120800).

99941280 is an abundant number, since it is smaller than the sum of its proper divisors (220300320).

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

99941280 is a wasteful number, since it uses less digits than its factorization.

99941280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 99941280 is about 9997.0635688686. The cubic root of 99941280 is about 464.0680142074.

The spelling of 99941280 in words is "ninety-nine million, nine hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 80 96 118 120 160 177 236 240 295 354 472 480 590 708 885 944 1180 1416 1770 1888 2360 2832 3529 3540 4720 5664 7058 7080 9440 10587 14116 14160 17645 21174 28232 28320 35290 42348 52935 56464 70580 84696 105870 112928 141160 169392 208211 211740 282320 338784 416422 423480 564640 624633 832844 846960 1041055 1249266 1665688 1693920 2082110 2498532 3123165 3331376 4164220 4997064 6246330 6662752 8328440 9994128 12492660 16656880 19988256 24985320 33313760 49970640 99941280