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103169440 = 255112732
BaseRepresentation
bin1100010011000…
…11110110100000
321012010112212101
412021203312200
5202402410230
614123140144
72361632353
oct611436640
9235115771
10103169440
1153266800
122a674654
13184b330a
14d9b829a
1590cdaca
hex6263da0

103169440 has 108 divisors (see below), whose sum is σ = 271630422. Its totient is φ = 37002240.

The previous prime is 103169419. The next prime is 103169441. The reversal of 103169440 is 44961301.

It can be written as a sum of positive squares in 3 ways, for example, as 87834384 + 15335056 = 9372^2 + 3916^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103169399 and 103169408.

It is not an unprimeable number, because it can be changed into a prime (103169441) 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, 1413244 + ... + 1413316.

Almost surely, 2103169440 is an apocalyptic number.

103169440 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 103169440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135815211).

103169440 is an abundant number, since it is smaller than the sum of its proper divisors (168460982).

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

103169440 is an equidigital number, since it uses as much as digits as its factorization.

103169440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 103169440 is about 10157.2358444608. The cubic root of 103169440 is about 469.0117154206.

The spelling of 103169440 in words is "one hundred three million, one hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 73 80 88 110 121 146 160 176 220 242 292 352 365 440 484 584 605 730 803 880 968 1168 1210 1460 1606 1760 1936 2336 2420 2920 3212 3872 4015 4840 5329 5840 6424 8030 8833 9680 10658 11680 12848 16060 17666 19360 21316 25696 26645 32120 35332 42632 44165 53290 58619 64240 70664 85264 88330 106580 117238 128480 141328 170528 176660 213160 234476 282656 293095 353320 426320 468952 586190 644809 706640 852640 937904 1172380 1289618 1413280 1875808 2344760 2579236 3224045 4689520 5158472 6448090 9379040 10316944 12896180 20633888 25792360 51584720 103169440