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99985536 = 273374133
BaseRepresentation
bin1011111010110…
…10100010000000
320222010210101000
411331122202000
5201044014121
613531012000
72322602010
oct575324200
9228123330
1099985536
1151491682
122959a000
131793a051
14d3c9c40
158ba0526
hex5f5a880

99985536 has 128 divisors (see below), whose sum is σ = 337334400. Its totient is φ = 28560384.

The previous prime is 99985489. The next prime is 99985547. The reversal of 99985536 is 63558999.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22126 + ... + 26258.

It is an arithmetic number, because the mean of its divisors is an integer number (2635425).

Almost surely, 299985536 is an apocalyptic number.

99985536 is a gapful number since it is divisible by the number (96) 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 99985536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168667200).

99985536 is an abundant number, since it is smaller than the sum of its proper divisors (237348864).

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

99985536 is a wasteful number, since it uses less digits than its factorization.

99985536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4145 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The square root of 99985536 is about 9999.2767738472. The cubic root of 99985536 is about 464.1365036353.

The spelling of 99985536 in words is "ninety-nine million, nine hundred eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 4133 6048 8064 8266 12096 12399 16532 24192 24798 28931 33064 37197 49596 57862 66128 74394 86793 99192 111591 115724 132256 148788 173586 198384 223182 231448 260379 264512 297576 347172 396768 446364 462896 520758 529024 595152 694344 781137 793536 892728 925792 1041516 1190304 1388688 1562274 1587072 1785456 1851584 2083032 2380608 2777376 3124548 3570912 3703168 4166064 4761216 5554752 6249096 7141824 8332128 11109504 12498192 14283648 16664256 24996384 33328512 49992768 99985536