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106999488 = 2633193259
BaseRepresentation
bin1100110000010…
…10111011000000
321110100010201000
412120022323000
5204342440423
614341212000
72436323601
oct630127300
9243303630
10106999488
1155442332
122ba01000
131922470b
14102d3da8
1595d8843
hex660aec0

106999488 has 112 divisors (see below), whose sum is σ = 331216000. Its totient is φ = 33778944.

The previous prime is 106999481. The next prime is 106999493. The reversal of 106999488 is 884999601.

106999488 is a `hidden beast` number, since 10 + 69 + 99 + 488 = 666.

It is a super-2 number, since 2×1069994882 = 22897780864524288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106999481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31203 + ... + 34461.

Almost surely, 2106999488 is an apocalyptic number.

106999488 is a gapful number since it is divisible by the number (18) 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 106999488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165608000).

106999488 is an abundant number, since it is smaller than the sum of its proper divisors (224216512).

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

106999488 is a wasteful number, since it uses less digits than its factorization.

106999488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 106999488 is about 10344.0556843049. The cubic root of 106999488 is about 474.7451826240.

The spelling of 106999488 in words is "one hundred six million, nine hundred ninety-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3259 3648 4104 5472 6518 8208 9777 10944 13036 16416 19554 26072 29331 32832 39108 52144 58662 61921 78216 87993 104288 117324 123842 156432 175986 185763 208576 234648 247684 312864 351972 371526 469296 495368 557289 625728 703944 743052 938592 990736 1114578 1407888 1486104 1671867 1877184 1981472 2229156 2815776 2972208 3343734 3962944 4458312 5631552 5944416 6687468 8916624 11888832 13374936 17833248 26749872 35666496 53499744 106999488