Search a number
-
+
75103140 = 22357178817
BaseRepresentation
bin1000111100111…
…11101110100100
312020022122010210
410132133232210
5123211300030
611241415420
71601236410
oct436375644
9166278123
1075103140
1139437112
122119a570
1312737538
149d8dd40
1568d7bb0
hex479fba4

75103140 has 48 divisors (see below), whose sum is σ = 240331392. Its totient is φ = 17166336.

The previous prime is 75103117. The next prime is 75103141. The reversal of 75103140 is 4130157.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (75103141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88989 + ... + 89828.

It is an arithmetic number, because the mean of its divisors is an integer number (5006904).

Almost surely, 275103140 is an apocalyptic number.

75103140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75103140 is an abundant number, since it is smaller than the sum of its proper divisors (165228252).

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

75103140 is a wasteful number, since it uses less digits than its factorization.

75103140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178836 (or 178834 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 75103140 is about 8666.2067826703. The cubic root of 75103140 is about 421.9095588699.

Adding to 75103140 its reverse (4130157), we get a palindrome (79233297).

The spelling of 75103140 in words is "seventy-five million, one hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 178817 357634 536451 715268 894085 1072902 1251719 1788170 2145804 2503438 2682255 3576340 3755157 5006876 5364510 6258595 7510314 10729020 12517190 15020628 18775785 25034380 37551570 75103140