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99136080 = 24325157877
BaseRepresentation
bin1011110100010…
…11001001010000
320220112122010200
411322023021100
5200334323310
613500455200
72312433321
oct572131120
9226478120
1099136080
1150a6144a
122924a500
1317700504
14d248448
158a839c0
hex5e8b250

99136080 has 120 divisors (see below), whose sum is σ = 335434632. Its totient is φ = 26237952.

The previous prime is 99136069. The next prime is 99136097. The reversal of 99136080 is 8063199.

It can be written as a sum of positive squares in 4 ways, for example, as 15303744 + 83832336 = 3912^2 + 9156^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112602 + ... + 113478.

Almost surely, 299136080 is an apocalyptic number.

99136080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99136080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167717316).

99136080 is an abundant number, since it is smaller than the sum of its proper divisors (236298552).

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

99136080 is a wasteful number, since it uses less digits than its factorization.

99136080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 99136080 is about 9956.7103000941. The cubic root of 99136080 is about 462.8183617648.

The spelling of 99136080 in words is "ninety-nine million, one hundred thirty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 157 180 240 314 360 471 628 720 785 877 942 1256 1413 1570 1754 1884 2355 2512 2631 2826 3140 3508 3768 4385 4710 5262 5652 6280 7016 7065 7536 7893 8770 9420 10524 11304 12560 13155 14032 14130 15786 17540 18840 21048 22608 26310 28260 31572 35080 37680 39465 42096 52620 56520 63144 70160 78930 105240 113040 126288 137689 157860 210480 275378 315720 413067 550756 631440 688445 826134 1101512 1239201 1376890 1652268 2065335 2203024 2478402 2753780 3304536 4130670 4956804 5507560 6196005 6609072 8261340 9913608 11015120 12392010 16522680 19827216 24784020 33045360 49568040 99136080