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99930012 = 223721317769
BaseRepresentation
bin1011111010011…
…00111110011100
320222000222012120
411331030332130
5201040230022
613525502540
72322251100
oct575147634
9228028176
1099930012
1151453996
1229571a50
131791a9b0
14d3b3900
158b8dd5c
hex5f4cf9c

99930012 has 144 divisors (see below), whose sum is σ = 309687840. Its totient is φ = 24772608.

The previous prime is 99929983. The next prime is 99930013. The reversal of 99930012 is 21003999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99930013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129564 + ... + 130332.

It is an arithmetic number, because the mean of its divisors is an integer number (2150610).

Almost surely, 299930012 is an apocalyptic number.

It is a pronic number, being equal to 9996×9997.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99930012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154843920).

99930012 is an abundant number, since it is smaller than the sum of its proper divisors (209757828).

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

99930012 is a wasteful number, since it uses less digits than its factorization.

99930012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 99930012 is about 9996.4999874956. The cubic root of 99930012 is about 464.0505729161.

The spelling of 99930012 in words is "ninety-nine million, nine hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 49 51 52 68 78 84 91 98 102 119 147 156 182 196 204 221 238 273 294 357 364 442 476 546 588 637 663 714 769 833 884 1092 1274 1326 1428 1538 1547 1666 1911 2307 2499 2548 2652 3076 3094 3332 3822 4614 4641 4998 5383 6188 7644 9228 9282 9996 9997 10766 10829 13073 16149 18564 19994 21532 21658 26146 29991 32298 32487 37681 39219 39988 43316 52292 59982 64596 64974 69979 75362 78438 91511 113043 119964 129948 139958 150724 156876 169949 183022 209937 226086 274533 279916 339898 366044 419874 452172 489853 509847 549066 640577 679796 839748 979706 1019694 1098132 1189643 1281154 1469559 1921731 1959412 2039388 2379286 2562308 2939118 3568929 3843462 4758572 5878236 7137858 7686924 8327501 14275716 16655002 24982503 33310004 49965006 99930012