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99986520 = 233517232131
BaseRepresentation
bin1011111010110…
…10110001011000
320222010211201110
411331122301120
5201044032040
613531020320
72322604614
oct575326130
9228124643
1099986520
1151492397
122959a6a0
131793a62a
14d3ca344
158ba0980
hex5f5ac58

99986520 has 128 divisors (see below), whose sum is σ = 331568640. Its totient is φ = 23992320.

The previous prime is 99986507. The next prime is 99986521. The reversal of 99986520 is 2568999.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 99986520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99986521) 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, 45855 + ... + 47985.

It is an arithmetic number, because the mean of its divisors is an integer number (2590380).

Almost surely, 299986520 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 99986520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165784320).

99986520 is an abundant number, since it is smaller than the sum of its proper divisors (231582120).

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

99986520 is a wasteful number, since it uses less digits than its factorization.

99986520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 99986520 is about 9999.3259772847. The cubic root of 99986520 is about 464.1380262182.

The spelling of 99986520 in words is "ninety-nine million, nine hundred eighty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 23 24 30 34 40 46 51 60 68 69 85 92 102 115 120 136 138 170 184 204 230 255 276 340 345 391 408 460 510 552 680 690 782 920 1020 1173 1380 1564 1955 2040 2131 2346 2760 3128 3910 4262 4692 5865 6393 7820 8524 9384 10655 11730 12786 15640 17048 21310 23460 25572 31965 36227 42620 46920 49013 51144 63930 72454 85240 98026 108681 127860 144908 147039 181135 196052 217362 245065 255720 289816 294078 362270 392104 434724 490130 543405 588156 724540 735195 833221 869448 980260 1086810 1176312 1449080 1470390 1666442 1960520 2173620 2499663 2940780 3332884 4166105 4347240 4999326 5881560 6665768 8332210 9998652 12498315 16664420 19997304 24996630 33328840 49993260 99986520