Search a number
-
+
75412134 = 2387821
BaseRepresentation
bin1000111111010…
…11001010100110
312020220100000000
410133223022212
5123301142014
611252202130
71603664310
oct437531246
9166810000
1075412134
1139628286
1221309346
1312815085
14a0307b0
156949509
hex47eb2a6

75412134 has 72 divisors (see below), whose sum is σ = 194143248. Its totient is φ = 21520080.

The previous prime is 75412123. The next prime is 75412157. The reversal of 75412134 is 43121457.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 75412098 and 75412107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91444 + ... + 92264.

It is an arithmetic number, because the mean of its divisors is an integer number (2696434).

Almost surely, 275412134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75412134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97071624).

75412134 is an abundant number, since it is smaller than the sum of its proper divisors (118731114).

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

75412134 is an frugal number, since it uses more digits than its factorization.

75412134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 833 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 75412134 is about 8684.0160064339. The cubic root of 75412134 is about 422.4873826513.

The spelling of 75412134 in words is "seventy-five million, four hundred twelve thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 821 1134 1458 1642 1701 2187 2463 3402 4374 4926 5103 5747 6561 7389 10206 11494 13122 14778 15309 17241 22167 30618 34482 44334 45927 51723 66501 91854 103446 133002 155169 199503 310338 399006 465507 598509 931014 1197018 1396521 1795527 2793042 3591054 4189563 5386581 8379126 10773162 12568689 25137378 37706067 75412134