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99090440 = 23523374171
BaseRepresentation
bin1011110100000…
…00000000001000
320220110022112022
411322000000020
5200331343230
613455504012
72312153261
oct572000010
9226408468
1099090440
1150a30129
1229228008
13176b57c7
14d235968
158a751e5
hex5e80008

99090440 has 128 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 35481600.

The previous prime is 99090437. The next prime is 99090457. The reversal of 99090440 is 4409099.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 99090440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1395605 + ... + 1395675.

It is an arithmetic number, because the mean of its divisors is an integer number (1939140).

Almost surely, 299090440 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 99090440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

99090440 is an abundant number, since it is smaller than the sum of its proper divisors (149119480).

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

99090440 is a wasteful number, since it uses less digits than its factorization.

99090440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 99090440 is about 9954.4181145861. The cubic root of 99090440 is about 462.7473271748.

The spelling of 99090440 in words is "ninety-nine million, ninety thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 37 40 41 46 71 74 82 92 115 142 148 164 184 185 205 230 284 296 328 355 370 410 460 568 710 740 820 851 920 943 1420 1480 1517 1633 1640 1702 1886 2627 2840 2911 3034 3266 3404 3772 4255 4715 5254 5822 6068 6532 6808 7544 7585 8165 8510 9430 10508 11644 12136 13064 13135 14555 15170 16330 17020 18860 21016 23288 26270 29110 30340 32660 34040 34891 37720 52540 58220 60421 60680 65320 66953 69782 105080 107707 116440 120842 133906 139564 174455 215414 241684 267812 279128 302105 334765 348910 430828 483368 535624 538535 604210 669530 697820 861656 1077070 1208420 1339060 1395640 2154140 2416840 2477261 2678120 4308280 4954522 9909044 12386305 19818088 24772610 49545220 99090440