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103440160 = 25537101173
BaseRepresentation
bin1100010101001…
…01111100100000
321012122022020001
412022211330200
5202440041120
614133025344
72364140545
oct612457440
9235568201
10103440160
115343113a
122a785254
13185795c5
14da48bcc
159133e0a
hex62a5f20

103440160 has 96 divisors (see below), whose sum is σ = 254932272. Its totient is φ = 39628800.

The previous prime is 103440143. The next prime is 103440173. The reversal of 103440160 is 61044301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 102495376 + 944784 = 10124^2 + 972^2 .

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, 597834 + ... + 598006.

Almost surely, 2103440160 is an apocalyptic number.

103440160 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 103440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127466136).

103440160 is an abundant number, since it is smaller than the sum of its proper divisors (151492112).

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

103440160 is a wasteful number, since it uses less digits than its factorization.

103440160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 103440160 is about 10170.5535739211. The cubic root of 103440160 is about 469.4215911702.

Adding to 103440160 its reverse (61044301), we get a palindrome (164484461).

The spelling of 103440160 in words is "one hundred three million, four hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 101 148 160 173 185 202 296 346 370 404 505 592 692 740 808 865 1010 1184 1384 1480 1616 1730 2020 2768 2960 3232 3460 3737 4040 5536 5920 6401 6920 7474 8080 12802 13840 14948 16160 17473 18685 25604 27680 29896 32005 34946 37370 51208 59792 64010 69892 74740 87365 102416 119584 128020 139784 149480 174730 204832 256040 279568 298960 349460 512080 559136 597920 646501 698920 1024160 1293002 1397840 2586004 2795680 3232505 5172008 6465010 10344016 12930020 20688032 25860040 51720080 103440160