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103110440 = 23517532861
BaseRepresentation
bin1100010010101…
…01011100101000
321012000112221012
412021111130220
5202344013230
614122003052
72361265346
oct611253450
9235015835
10103110440
1153226444
122a646488
13184924c4
14d9a0996
1590bb395
hex6255728

103110440 has 64 divisors (see below), whose sum is σ = 250367760. Its totient is φ = 38072320.

The previous prime is 103110439. The next prime is 103110463. The reversal of 103110440 is 44011301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 73582084 + 29528356 = 8578^2 + 5434^2 .

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, 34610 + ... + 37470.

Almost surely, 2103110440 is an apocalyptic number.

103110440 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 103110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125183880).

103110440 is an abundant number, since it is smaller than the sum of its proper divisors (147257320).

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

103110440 is a wasteful number, since it uses less digits than its factorization.

103110440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 103110440 is about 10154.3310956458. The cubic root of 103110440 is about 468.9222930497.

Adding to 103110440 its reverse (44011301), we get a palindrome (147121741).

The spelling of 103110440 in words is "one hundred three million, one hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 265 340 424 530 680 901 1060 1802 2120 2861 3604 4505 5722 7208 9010 11444 14305 18020 22888 28610 36040 48637 57220 97274 114440 151633 194548 243185 303266 389096 486370 606532 758165 972740 1213064 1516330 1945480 2577761 3032660 5155522 6065320 10311044 12888805 20622088 25777610 51555220 103110440