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99906240 = 2635714867
BaseRepresentation
bin1011111010001…
…11001011000000
320221222202121010
411331013023000
5201033444430
613525200520
72322121560
oct575071300
9227882533
1099906240
1151438045
1229560140
131790cc25
14d3a8da0
158b86cb0
hex5f472c0

99906240 has 112 divisors (see below), whose sum is σ = 362541312. Its totient is φ = 22834176.

The previous prime is 99906223. The next prime is 99906251. The reversal of 99906240 is 4260999.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 714 + ... + 14153.

It is an arithmetic number, because the mean of its divisors is an integer number (3236976).

Almost surely, 299906240 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 99906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181270656).

99906240 is an abundant number, since it is smaller than the sum of its proper divisors (262635072).

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

99906240 is a wasteful number, since it uses less digits than its factorization.

99906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14894 (or 14884 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 99906240 is about 9995.3109006173. The cubic root of 99906240 is about 464.0137728769.

The spelling of 99906240 in words is "ninety-nine million, nine hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 14867 29734 44601 59468 74335 89202 104069 118936 148670 178404 208138 223005 237872 297340 312207 356808 416276 446010 475744 520345 594680 624414 713616 832552 892020 951488 1040690 1189360 1248828 1427232 1561035 1665104 1784040 2081380 2378720 2497656 2854464 3122070 3330208 3568080 4162760 4757440 4995312 6244140 6660416 7136160 8325520 9990624 12488280 14272320 16651040 19981248 24976560 33302080 49953120 99906240