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535516740 = 2232511270463
BaseRepresentation
bin11111111010110…
…101011001000100
31101022200001212100
4133322311121010
52044043013430
6125045552100
716161550203
oct3772653104
91338601770
10535516740
11255315720
1212b415630
1386c3c115
145119d23a
1532031960
hex1feb5644

535516740 has 72 divisors (see below), whose sum is σ = 1772080128. Its totient is φ = 129821760.

The previous prime is 535516739. The next prime is 535516757. The reversal of 535516740 is 47615535.

535516740 is a `hidden beast` number, since 5 + 3 + 551 + 67 + 40 = 666.

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 = 535516695 and 535516704.

It is an unprimeable number.

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, 133252 + ... + 137211.

It is an arithmetic number, because the mean of its divisors is an integer number (24612224).

Almost surely, 2535516740 is an apocalyptic number.

It is an amenable number.

535516740 is an abundant number, since it is smaller than the sum of its proper divisors (1236563388).

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

535516740 is a wasteful number, since it uses less digits than its factorization.

535516740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270489 (or 270484 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 535516740 is about 23141.2346256633. The cubic root of 535516740 is about 812.0654193534.

The spelling of 535516740 in words is "five hundred thirty-five million, five hundred sixteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 270463 540926 811389 1081852 1352315 1622778 2434167 2704630 2975093 3245556 4056945 4868334 5409260 5950186 8113890 8925279 9736668 11900372 12170835 14875465 16227780 17850558 24341670 26775837 29750930 35701116 44626395 48683340 53551674 59501860 89252790 107103348 133879185 178505580 267758370 535516740