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75034136 = 23293110433
BaseRepresentation
bin1000111100011…
…10111000011000
312020012010111002
410132032320120
5123202043021
611240124132
71600531262
oct436167030
9166163432
1075034136
113939a291
1221166648
1312711cc8
149d72b32
1568c250b
hex478ee18

75034136 has 32 divisors (see below), whose sum is σ = 150249600. Its totient is φ = 35051520.

The previous prime is 75034133. The next prime is 75034139. The reversal of 75034136 is 63143057.

It is an interprime number because it is at equal distance from previous prime (75034133) and next prime (75034139).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 75034099 and 75034108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75034133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1976 + ... + 12408.

It is an arithmetic number, because the mean of its divisors is an integer number (4695300).

Almost surely, 275034136 is an apocalyptic number.

It is an amenable number.

75034136 is an abundant number, since it is smaller than the sum of its proper divisors (75215464).

75034136 is a wasteful number, since it uses less digits than its factorization.

75034136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10499 (or 10495 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 75034136 is about 8662.2246565187. The cubic root of 75034136 is about 421.7803038741.

The spelling of 75034136 in words is "seventy-five million, thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 8 29 31 58 62 116 124 232 248 899 1798 3596 7192 10433 20866 41732 83464 302557 323423 605114 646846 1210228 1293692 2420456 2587384 9379267 18758534 37517068 75034136