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5376735 = 3257132101
BaseRepresentation
bin10100100000101011011111
3101010011111100
4110200223133
52334023420
6311124143
763462420
oct24405337
911104440
105376735
113042691
121973653
131163400
149dd647
15713190
hex520adf

5376735 has 72 divisors (see below), whose sum is σ = 11647584. Its totient is φ = 2246400.

The previous prime is 5376727. The next prime is 5376739.

5376735 is nontrivially palindromic in base 10.

5376735 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5376735 - 23 = 5376727 is a prime.

5376735 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 5376735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5376739) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53185 + ... + 53285.

It is an arithmetic number, because the mean of its divisors is an integer number (161772).

Almost surely, 25376735 is an apocalyptic number.

5376735 is an abundant number, since it is smaller than the sum of its proper divisors (6270849).

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

5376735 is a wasteful number, since it uses less digits than its factorization.

5376735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

The product of its digits is 66150, while the sum is 36.

The square root of 5376735 is about 2318.7787734064. The cubic root of 5376735 is about 175.1887487301.

The spelling of 5376735 in words is "five million, three hundred seventy-six thousand, seven hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 101 105 117 169 195 273 303 315 455 505 507 585 707 819 845 909 1183 1313 1365 1515 1521 2121 2535 3535 3549 3939 4095 4545 5915 6363 6565 7605 9191 10605 10647 11817 17069 17745 19695 27573 31815 45955 51207 53235 59085 82719 85345 119483 137865 153621 256035 358449 413595 597415 768105 1075347 1792245 5376735