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99127980 = 223257211239
BaseRepresentation
bin1011110100010…
…01001010101100
320220112020000200
411322021022230
5200334043410
613500353500
72312400600
oct572111254
9226466020
1099127980
1150a56356
1229245890
13176c9913
14d245500
158a813c0
hex5e892ac

99127980 has 108 divisors (see below), whose sum is σ = 349811280. Its totient is φ = 22655808.

The previous prime is 99127937. The next prime is 99127991. The reversal of 99127980 is 8972199.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 3201 + ... + 14439.

Almost surely, 299127980 is an apocalyptic number.

99127980 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 99127980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174905640).

99127980 is an abundant number, since it is smaller than the sum of its proper divisors (250683300).

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

99127980 is a wasteful number, since it uses less digits than its factorization.

99127980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11268 (or 11256 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 99127980 is about 9956.3035309295. The cubic root of 99127980 is about 462.8057564287.

The spelling of 99127980 in words is "ninety-nine million, one hundred twenty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 11239 22478 33717 44956 56195 67434 78673 101151 112390 134868 157346 168585 202302 224780 236019 314692 337170 393365 404604 472038 505755 550711 674340 708057 786730 944076 1011510 1101422 1180095 1416114 1573460 1652133 2023020 2202844 2360190 2753555 2832228 3304266 3540285 4720380 4956399 5507110 6608532 7080570 8260665 9912798 11014220 14161140 16521330 19825596 24781995 33042660 49563990 99127980