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536007760 = 24541163417
BaseRepresentation
bin11111111100101…
…101010001010000
31101100121000102021
4133330231101100
52044204222020
6125104301224
716165663561
oct3774552120
91340530367
10536007760
11255620622
1212b611814
1387081772
145128a168
15320cc1aa
hex1ff2d450

536007760 has 40 divisors (see below), whose sum is σ = 1276621416. Its totient is φ = 209172480.

The previous prime is 536007749. The next prime is 536007767. The reversal of 536007760 is 67700635.

It can be written as a sum of positive squares in 4 ways, for example, as 4981824 + 531025936 = 2232^2 + 23044^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536007767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78429 + ... + 84988.

Almost surely, 2536007760 is an apocalyptic number.

It is an amenable number.

536007760 is an abundant number, since it is smaller than the sum of its proper divisors (740613656).

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

536007760 is a wasteful number, since it uses less digits than its factorization.

536007760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163471 (or 163465 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 34.

The square root of 536007760 is about 23151.8413954484. The cubic root of 536007760 is about 812.3135401714.

The spelling of 536007760 in words is "five hundred thirty-six million, seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 163417 326834 653668 817085 1307336 1634170 2614672 3268340 6536680 6700097 13073360 13400194 26800388 33500485 53600776 67000970 107201552 134001940 268003880 536007760