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99271332 = 2235414753
BaseRepresentation
bin1011110101011…
…00001010100100
320220210111200000
411322230022210
5200403140312
613503421300
72313535536
oct572541244
9226714600
1099271332
1151044026
12292b4830
1317749c44
14d281856
158aadadc
hex5eac2a4

99271332 has 144 divisors (see below), whose sum is σ = 277385472. Its totient is φ = 31000320.

The previous prime is 99271307. The next prime is 99271343. The reversal of 99271332 is 23317299.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 1873018 + ... + 1873070.

It is an arithmetic number, because the mean of its divisors is an integer number (1926288).

Almost surely, 299271332 is an apocalyptic number.

It is a pronic number, being equal to 9963×9964.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99271332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736).

99271332 is an abundant number, since it is smaller than the sum of its proper divisors (178114140).

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

99271332 is a wasteful number, since it uses less digits than its factorization.

99271332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 99271332 is about 9963.4999874542. The cubic root of 99271332 is about 463.0287414887.

The spelling of 99271332 in words is "ninety-nine million, two hundred seventy-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 47 53 54 81 82 94 106 108 123 141 159 162 164 188 212 243 246 282 318 324 369 423 477 486 492 564 636 738 846 954 972 1107 1269 1431 1476 1692 1908 1927 2173 2214 2491 2538 2862 3321 3807 3854 4293 4346 4428 4982 5076 5724 5781 6519 6642 7473 7614 7708 8586 8692 9963 9964 11421 11562 12879 13038 13284 14946 15228 17172 17343 19557 19926 22419 22842 23124 25758 26076 29892 34686 39114 39852 44838 45684 51516 52029 58671 67257 69372 78228 89676 102131 104058 117342 134514 156087 176013 201771 204262 208116 234684 269028 306393 312174 352026 403542 408524 468261 528039 605313 612786 624348 704052 807084 919179 936522 1056078 1210626 1225572 1838358 1873044 2112156 2421252 2757537 3676716 5515074 8272611 11030148 16545222 24817833 33090444 49635666 99271332