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103483296 = 2532727333
BaseRepresentation
bin1100010101100…
…00011110100000
321012201111101200
412022300132200
5202442431141
614134001200
72364410400
oct612603640
9235644350
10103483296
1153460594
122a7a6200
1318593127
14da5a800
159141ab6
hex62b07a0

103483296 has 108 divisors (see below), whose sum is σ = 342373122. Its totient is φ = 29562624.

The previous prime is 103483273. The next prime is 103483307. The reversal of 103483296 is 692384301.

It can be written as a sum of positive squares in only one way, i.e., 103306896 + 176400 = 10164^2 + 420^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 103483296.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 10446 + ... + 17778.

Almost surely, 2103483296 is an apocalyptic number.

103483296 is a gapful number since it is divisible by the number (16) 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 103483296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171186561).

103483296 is an abundant number, since it is smaller than the sum of its proper divisors (238889826).

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

103483296 is a wasteful number, since it uses less digits than its factorization.

103483296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7363 (or 7345 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 103483296 is about 10172.6739847495. The cubic root of 103483296 is about 469.4868339015.

The spelling of 103483296 in words is "one hundred three million, four hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 7333 14112 14666 21999 29332 43998 51331 58664 65997 87996 102662 117328 131994 153993 175992 205324 234656 263988 307986 351984 359317 410648 461979 527976 615972 703968 718634 821296 923958 1055952 1077951 1231944 1437268 1642592 1847916 2111904 2155902 2463888 2874536 3233853 3695832 4311804 4927776 5749072 6467706 7391664 8623608 11498144 12935412 14783328 17247216 25870824 34494432 51741648 103483296