Search a number
-
+
75871040 = 265733871
BaseRepresentation
bin1001000010110…
…11001101000000
312021202122111112
410201123031000
5123410333130
611310102452
71610615240
oct441331500
9167678445
1075871040
1139911043
12214aaa28
1312945c0b
14a10db20
1569da495
hex485b340

75871040 has 56 divisors (see below), whose sum is σ = 206483712. Its totient is φ = 26012160.

The previous prime is 75871021. The next prime is 75871063. The reversal of 75871040 is 4017857.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 75870988 and 75871006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14696 + ... + 19175.

Almost surely, 275871040 is an apocalyptic number.

75871040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75871040 is an abundant number, since it is smaller than the sum of its proper divisors (130612672).

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

75871040 is a wasteful number, since it uses less digits than its factorization.

75871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33895 (or 33885 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 75871040 is about 8710.3983835414. The cubic root of 75871040 is about 423.3426386585.

Adding to 75871040 its reverse (4017857), we get a palindrome (79888897).

The spelling of 75871040 in words is "seventy-five million, eight hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 33871 67742 135484 169355 237097 270968 338710 474194 541936 677420 948388 1083872 1185485 1354840 1896776 2167744 2370970 2709680 3793552 4741940 5419360 7587104 9483880 10838720 15174208 18967760 37935520 75871040