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103801040 = 2457185359
BaseRepresentation
bin1100010111111…
…10000011010000
321020022122020222
412023332003100
5203033113130
614144452212
72400202640
oct613760320
9236278228
10103801040
1153658292
122a91a068
1318674945
14db00520
1591a5ce5
hex62fe0d0

103801040 has 40 divisors (see below), whose sum is σ = 275815680. Its totient is φ = 35588736.

The previous prime is 103801039. The next prime is 103801057. The reversal of 103801040 is 40108301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 92120 + ... + 93239.

It is an arithmetic number, because the mean of its divisors is an integer number (6895392).

Almost surely, 2103801040 is an apocalyptic number.

103801040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103801040 is an abundant number, since it is smaller than the sum of its proper divisors (172014640).

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

103801040 is a wasteful number, since it uses less digits than its factorization.

103801040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185379 (or 185373 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 103801040 is about 10188.2795407272. The cubic root of 103801040 is about 469.9668604973.

Adding to 103801040 its reverse (40108301), we get a palindrome (143909341).

The spelling of 103801040 in words is "one hundred three million, eight hundred one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 185359 370718 741436 926795 1297513 1482872 1853590 2595026 2965744 3707180 5190052 6487565 7414360 10380104 12975130 14828720 20760208 25950260 51900520 103801040