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103504464 = 24327214669
BaseRepresentation
bin1100010101101…
…01101001010000
321012202120102200
412022311221100
5202444120324
614134243200
72364526200
oct612655120
9235676380
10103504464
1153475488
122a7b6500
131859c95b
14da64400
159147ec9
hex62b5a50

103504464 has 90 divisors (see below), whose sum is σ = 336984570. Its totient is φ = 29570688.

The previous prime is 103504421. The next prime is 103504469. The reversal of 103504464 is 464405301.

It can be written as a sum of positive squares in only one way, i.e., 93315600 + 10188864 = 9660^2 + 3192^2 .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103504469) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 279 + ... + 14390.

It is an arithmetic number, because the mean of its divisors is an integer number (3744273).

Almost surely, 2103504464 is an apocalyptic number.

103504464 is a gapful number since it is divisible by the number (14) 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 103504464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168492285).

103504464 is an abundant number, since it is smaller than the sum of its proper divisors (233480106).

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

103504464 is a wasteful number, since it uses less digits than its factorization.

103504464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14697 (or 14681 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 103504464 is about 10173.7143659531. The cubic root of 103504464 is about 469.5188436400.

Adding to 103504464 its reverse (464405301), we get a palindrome (567909765).

The spelling of 103504464 in words is "one hundred three million, five hundred four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 14669 29338 44007 58676 88014 102683 117352 132021 176028 205366 234704 264042 308049 352056 410732 528084 616098 704112 718781 821464 924147 1056168 1232196 1437562 1642928 1848294 2112336 2156343 2464392 2875124 3696588 4312686 4928784 5750248 6469029 7393176 8625372 11500496 12938058 14786352 17250744 25876116 34501488 51752232 103504464