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10053484 = 2272367233
BaseRepresentation
bin100110010110…
…011101101100
3200220202210021
4212112131230
510033202414
6555251524
7151311310
oct46263554
920822707
1010053484
115747371
123449ba4
13211000c
141499b40
15d38c24
hex99676c

10053484 has 48 divisors (see below), whose sum is σ = 21385728. Its totient is φ = 4042368.

The previous prime is 10053481. The next prime is 10053499. The reversal of 10053484 is 48435001.

It is not an unprimeable number, because it can be changed into a prime (10053481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43032 + ... + 43264.

It is an arithmetic number, because the mean of its divisors is an integer number (445536).

Almost surely, 210053484 is an apocalyptic number.

10053484 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 10053484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10692864).

10053484 is an abundant number, since it is smaller than the sum of its proper divisors (11332244).

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

10053484 is a wasteful number, since it uses less digits than its factorization.

10053484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 10053484 is about 3170.7229459541. The cubic root of 10053484 is about 215.8268788868.

Adding to 10053484 its reverse (48435001), we get a palindrome (58488485).

It can be divided in two parts, 1005 and 3484, that added together give a square (4489 = 672).

The spelling of 10053484 in words is "ten million, fifty-three thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 23 28 46 67 92 134 161 233 268 322 466 469 644 932 938 1541 1631 1876 3082 3262 5359 6164 6524 10718 10787 15611 21436 21574 31222 37513 43148 62444 75026 109277 150052 218554 359053 437108 718106 1436212 2513371 5026742 10053484