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99084440 = 235713163167
BaseRepresentation
bin1011110011111…
…10100010011000
320220110000022002
411321332202120
5200331200230
613455420132
72312126630
oct571764230
9226400262
1099084440
1150a26674
1229224648
13176b2b60
14d2336c0
158a73545
hex5e7e898

99084440 has 128 divisors (see below), whose sum is σ = 277724160. Its totient is φ = 30979584.

The previous prime is 99084439. The next prime is 99084443. The reversal of 99084440 is 4448099.

It is a super-2 number, since 2×990844402 = 19635452500227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 99084394 and 99084403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99084443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593237 + ... + 593403.

It is an arithmetic number, because the mean of its divisors is an integer number (2169720).

Almost surely, 299084440 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 99084440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138862080).

99084440 is an abundant number, since it is smaller than the sum of its proper divisors (178639720).

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

99084440 is a wasteful number, since it uses less digits than its factorization.

99084440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 357 counting only the distinct ones).

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

The square root of 99084440 is about 9954.1167363056. The cubic root of 99084440 is about 462.7379870878.

The spelling of 99084440 in words is "ninety-nine million, eighty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 163 167 182 260 280 326 334 364 455 520 652 668 728 815 835 910 1141 1169 1304 1336 1630 1670 1820 2119 2171 2282 2338 3260 3340 3640 4238 4342 4564 4676 5705 5845 6520 6680 8476 8684 9128 9352 10595 10855 11410 11690 14833 15197 16952 17368 21190 21710 22820 23380 27221 29666 30394 42380 43420 45640 46760 54442 59332 60788 74165 75985 84760 86840 108884 118664 121576 136105 148330 151970 190547 217768 272210 296660 303940 353873 381094 544420 593320 607880 707746 762188 952735 1088840 1415492 1524376 1769365 1905470 2477111 2830984 3538730 3810940 4954222 7077460 7621880 9908444 12385555 14154920 19816888 24771110 49542220 99084440