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10054440 = 23325112539
BaseRepresentation
bin100110010110…
…101100101000
3200220211002200
4212112230220
510033220230
6555300200
7151314144
oct46265450
920824080
1010054440
115748060
12344a660
132110596
14149a224
15d39160
hex996b28

10054440 has 96 divisors (see below), whose sum is σ = 35661600. Its totient is φ = 2436480.

The previous prime is 10054433. The next prime is 10054441. The reversal of 10054440 is 4445001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10054441) 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 23 ways as a sum of consecutive naturals, for example, 2691 + ... + 5229.

It is an arithmetic number, because the mean of its divisors is an integer number (371475).

Almost surely, 210054440 is an apocalyptic number.

10054440 is a gapful number since it is divisible by the number (10) 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 10054440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17830800).

10054440 is an abundant number, since it is smaller than the sum of its proper divisors (25607160).

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

10054440 is a wasteful number, since it uses less digits than its factorization.

10054440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10054440 is about 3170.8736966332. The cubic root of 10054440 is about 215.8337197643.

Adding to 10054440 its reverse (4445001), we get a palindrome (14499441).

It can be divided in two parts, 1005 and 4440, that added together give a palindrome (5445).

The spelling of 10054440 in words is "ten million, fifty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 2539 3960 5078 7617 10156 12695 15234 20312 22851 25390 27929 30468 38085 45702 50780 55858 60936 76170 83787 91404 101560 111716 114255 139645 152340 167574 182808 223432 228510 251361 279290 304680 335148 418935 457020 502722 558580 670296 837870 914040 1005444 1117160 1256805 1675740 2010888 2513610 3351480 5027220 10054440