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75995060 = 22519227881
BaseRepresentation
bin1001000011110…
…01011110110100
312021222221121212
410201321132310
5123423320220
611312500552
71611642641
oct441713664
9167887555
1075995060
1139996239
122154a758
131298a4bb
14a142dc8
156a120c5
hex48797b4

75995060 has 48 divisors (see below), whose sum is σ = 168920640. Its totient is φ = 28638720.

The previous prime is 75995039. The next prime is 75995089. The reversal of 75995060 is 6059957.

It is a junction number, because it is equal to n+sod(n) for n = 75994999 and 75995017.

It is a congruent number.

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, 85820 + ... + 86700.

It is an arithmetic number, because the mean of its divisors is an integer number (3519180).

Almost surely, 275995060 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 75995060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84460320).

75995060 is an abundant number, since it is smaller than the sum of its proper divisors (92925580).

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

75995060 is a wasteful number, since it uses less digits than its factorization.

75995060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 41.

The square root of 75995060 is about 8717.5145540458. The cubic root of 75995060 is about 423.5731806089.

The spelling of 75995060 in words is "seventy-five million, nine hundred ninety-five thousand, sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 227 380 454 881 908 1135 1762 2270 3524 4313 4405 4540 8626 8810 16739 17252 17620 21565 33478 43130 66956 83695 86260 167390 199987 334780 399974 799948 999935 1999870 3799753 3999740 7599506 15199012 18998765 37997530 75995060