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103241040 = 2435728779
BaseRepresentation
bin1100010011101…
…01010101010000
321012021012002020
412021311111100
5202412203130
614124451440
72362351200
oct611652520
9235235066
10103241040
1153305581
122a6a9b80
1318509a96
14d9d6400
1590e4e10
hex6275550

103241040 has 120 divisors (see below), whose sum is σ = 372342240. Its totient is φ = 23595264.

The previous prime is 103241011. The next prime is 103241081. The reversal of 103241040 is 40142301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7371 + ... + 16149.

It is an arithmetic number, because the mean of its divisors is an integer number (3102852).

Almost surely, 2103241040 is an apocalyptic number.

103241040 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 103241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186171120).

103241040 is an abundant number, since it is smaller than the sum of its proper divisors (269101200).

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

103241040 is a wasteful number, since it uses less digits than its factorization.

103241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8809 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 103241040 is about 10160.7598141084. The cubic root of 103241040 is about 469.1201889935.

Adding to 103241040 its reverse (40142301), we get a palindrome (143383341).

The spelling of 103241040 in words is "one hundred three million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 8779 11760 17558 26337 35116 43895 52674 61453 70232 87790 105348 122906 131685 140464 175580 184359 210696 245812 263370 307265 351160 368718 421392 430171 491624 526740 614530 702320 737436 860342 921795 983248 1053480 1229060 1290513 1474872 1720684 1843590 2106960 2150855 2458120 2581026 2949744 3441368 3687180 4301710 4916240 5162052 6452565 6882736 7374360 8603420 10324104 12905130 14748720 17206840 20648208 25810260 34413680 51620520 103241040