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535705740 = 223253538431
BaseRepresentation
bin11111111011100…
…011100010001100
31101100000200010100
4133323203202030
52044120040430
6125054011100
716163265213
oct3773434214
91340020110
10535705740
11255434719
1212b4a6a90
1386ca715b
145120c07a
153206c960
hex1fee388c

535705740 has 72 divisors (see below), whose sum is σ = 1629770688. Its totient is φ = 142433280.

The previous prime is 535705733. The next prime is 535705747. The reversal of 535705740 is 47507535.

535705740 is a `hidden beast` number, since 535 + 70 + 57 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (535705733) and next prime (535705747).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 535705695 and 535705704.

It is not an unprimeable number, because it can be changed into a prime (535705747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59325 + ... + 67755.

It is an arithmetic number, because the mean of its divisors is an integer number (22635704).

Almost surely, 2535705740 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 535705740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814885344).

535705740 is an abundant number, since it is smaller than the sum of its proper divisors (1094064948).

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

535705740 is a wasteful number, since it uses less digits than its factorization.

535705740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8799 (or 8794 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 535705740 is about 23145.3178850497. The cubic root of 535705740 is about 812.1609422383.

The spelling of 535705740 in words is "five hundred thirty-five million, seven hundred five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353 706 1059 1412 1765 2118 3177 3530 4236 5295 6354 7060 8431 10590 12708 15885 16862 21180 25293 31770 33724 42155 50586 63540 75879 84310 101172 126465 151758 168620 252930 303516 379395 505860 758790 1517580 2976143 5952286 8928429 11904572 14880715 17856858 26785287 29761430 35713716 44642145 53570574 59522860 89284290 107141148 133926435 178568580 267852870 535705740