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103315440 = 2435735897
BaseRepresentation
bin1100010100001…
…11011111110000
321012101222010210
412022013133300
5202422043230
614130224120
72363111124
oct612073760
9235358123
10103315440
1153356468
122a725040
13185348c7
14da15584
15910beb0
hex62877f0

103315440 has 80 divisors (see below), whose sum is σ = 324720288. Its totient is φ = 27168768.

The previous prime is 103315439. The next prime is 103315451. The reversal of 103315440 is 44513301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14572 + ... + 20468.

Almost surely, 2103315440 is an apocalyptic number.

103315440 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 103315440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162360144).

103315440 is an abundant number, since it is smaller than the sum of its proper divisors (221404848).

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

103315440 is a wasteful number, since it uses less digits than its factorization.

103315440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986 (or 5980 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 103315440 is about 10164.4202982757. The cubic root of 103315440 is about 469.2328514299.

Adding to 103315440 its reverse (44513301), we get a palindrome (147828741).

The spelling of 103315440 in words is "one hundred three million, three hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 5897 8760 11794 17520 17691 23588 29485 35382 47176 58970 70764 88455 94352 117940 141528 176910 235880 283056 353820 430481 471760 707640 860962 1291443 1415280 1721924 2152405 2582886 3443848 4304810 5165772 6457215 6887696 8609620 10331544 12914430 17219240 20663088 25828860 34438480 51657720 103315440