Search a number
-
+
75190040 = 23529531223
BaseRepresentation
bin1000111101101…
…00111100011000
312020111001100022
410132310330120
5123222040130
611243330012
71602050642
oct436647430
9166431308
1075190040
1139496432
1221220908
1312767c63
149db3892
1569037e5
hex47b4f18

75190040 has 64 divisors (see below), whose sum is σ = 178459200. Its totient is φ = 28467712.

The previous prime is 75190039. The next prime is 75190043. The reversal of 75190040 is 4009157.

It is a junction number, because it is equal to n+sod(n) for n = 75189991 and 75190009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75190043) 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, 60869 + ... + 62091.

It is an arithmetic number, because the mean of its divisors is an integer number (2788425).

Almost surely, 275190040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75190040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89229600).

75190040 is an abundant number, since it is smaller than the sum of its proper divisors (103269160).

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

75190040 is a wasteful number, since it uses less digits than its factorization.

75190040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 75190040 is about 8671.2190607780. The cubic root of 75190040 is about 422.0722232129.

Adding to 75190040 its reverse (4009157), we get a palindrome (79199197).

The spelling of 75190040 in words is "seventy-five million, one hundred ninety thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 53 58 106 116 145 212 232 265 290 424 530 580 1060 1160 1223 1537 2120 2446 3074 4892 6115 6148 7685 9784 12230 12296 15370 24460 30740 35467 48920 61480 64819 70934 129638 141868 177335 259276 283736 324095 354670 518552 648190 709340 1296380 1418680 1879751 2592760 3759502 7519004 9398755 15038008 18797510 37595020 75190040