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103504440 = 233513431543
BaseRepresentation
bin1100010101101…
…01101000111000
321012202120101210
412022311220320
5202444120230
614134243120
72364526134
oct612655070
9235676353
10103504440
1153475466
122a7b64a0
131859c940
14da643c4
159147eb0
hex62b5a38

103504440 has 128 divisors (see below), whose sum is σ = 342397440. Its totient is φ = 24869376.

The previous prime is 103504421. The next prime is 103504469. The reversal of 103504440 is 44405301.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 66309 + ... + 67851.

It is an arithmetic number, because the mean of its divisors is an integer number (2674980).

Almost surely, 2103504440 is an apocalyptic number.

103504440 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 103504440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171198720).

103504440 is an abundant number, since it is smaller than the sum of its proper divisors (238893000).

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

103504440 is a wasteful number, since it uses less digits than its factorization.

103504440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 103504440 is about 10173.7131864428. The cubic root of 103504440 is about 469.5188073503.

Adding to 103504440 its reverse (44405301), we get a palindrome (147909741).

The spelling of 103504440 in words is "one hundred three million, five hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 43 52 60 65 78 86 104 120 129 130 156 172 195 215 258 260 312 344 390 430 516 520 559 645 780 860 1032 1118 1290 1543 1560 1677 1720 2236 2580 2795 3086 3354 4472 4629 5160 5590 6172 6708 7715 8385 9258 11180 12344 13416 15430 16770 18516 20059 22360 23145 30860 33540 37032 40118 46290 60177 61720 66349 67080 80236 92580 100295 120354 132698 160472 185160 199047 200590 240708 265396 300885 331745 398094 401180 481416 530792 601770 663490 796188 802360 862537 995235 1203540 1326980 1592376 1725074 1990470 2407080 2587611 2653960 3450148 3980940 4312685 5175222 6900296 7961880 8625370 10350444 12938055 17250740 20700888 25876110 34501480 51752220 103504440