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102383232 = 273741929
BaseRepresentation
bin1100001101000…
…11111010000000
321010122121101120
412012203322000
5202202230412
614054232240
72352146250
oct606437200
9233577346
10102383232
115287a046
122a355680
13182994c3
14d851960
158ec5b8c
hex61a3e80

102383232 has 128 divisors (see below), whose sum is σ = 318729600. Its totient is φ = 28508160.

The previous prime is 102383213. The next prime is 102383233. The reversal of 102383232 is 232383201.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (102383233) 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, 109744 + ... + 110672.

It is an arithmetic number, because the mean of its divisors is an integer number (2490075).

Almost surely, 2102383232 is an apocalyptic number.

102383232 is a gapful number since it is divisible by the number (12) 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 102383232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

102383232 is an abundant number, since it is smaller than the sum of its proper divisors (216346368).

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

102383232 is an equidigital number, since it uses as much as digits as its factorization.

102383232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 102383232 is about 10118.4599618717. The cubic root of 102383232 is about 467.8173002985.

It can be divided in two parts, 1023 and 83232, that added together give a triangular number (84255 = T410).

The spelling of 102383232 in words is "one hundred two million, three hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 287 328 336 384 448 492 574 656 672 861 896 929 984 1148 1312 1344 1722 1858 1968 2296 2624 2688 2787 3444 3716 3936 4592 5248 5574 6503 6888 7432 7872 9184 11148 13006 13776 14864 15744 18368 19509 22296 26012 27552 29728 36736 38089 39018 44592 52024 55104 59456 76178 78036 89184 104048 110208 114267 118912 152356 156072 178368 208096 228534 266623 304712 312144 356736 416192 457068 533246 609424 624288 799869 832384 914136 1066492 1218848 1248576 1599738 1828272 2132984 2437696 2497152 3199476 3656544 4265968 4875392 6398952 7313088 8531936 12797904 14626176 17063872 25595808 34127744 51191616 102383232