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103042560 = 293513417
BaseRepresentation
bin1100010010001…
…00111000000000
321011220002211010
412021010320000
5202334330220
614120320520
72360563425
oct611047000
9234802733
10103042560
115318a445
122a613140
131846a63a
14d983d4c
1590a61e0
hex6244e00

103042560 has 80 divisors (see below), whose sum is σ = 329438736. Its totient is φ = 27475968.

The previous prime is 103042487. The next prime is 103042561. The reversal of 103042560 is 65240301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103042561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 972 + ... + 14388.

Almost surely, 2103042560 is an apocalyptic number.

103042560 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 103042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164719368).

103042560 is an abundant number, since it is smaller than the sum of its proper divisors (226396176).

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

103042560 is an equidigital number, since it uses as much as digits as its factorization.

103042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13443 (or 13427 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 103042560 is about 10150.9881292414. The cubic root of 103042560 is about 468.8193696447.

Adding to 103042560 its reverse (65240301), we get a palindrome (168282861).

The spelling of 103042560 in words is "one hundred three million, forty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 13417 26834 40251 53668 67085 80502 107336 134170 161004 201255 214672 268340 322008 402510 429344 536680 644016 805020 858688 1073360 1288032 1610040 1717376 2146720 2576064 3220080 3434752 4293440 5152128 6440160 6869504 8586880 10304256 12880320 17173760 20608512 25760640 34347520 51521280 103042560