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535111680 = 2113517419
BaseRepresentation
bin11111111001010…
…010100000000000
31101021220111020010
4133321102200000
52043442033210
6125033144520
716155242235
oct3771224000
91337814203
10535111680
11255069364
1212b25b140
1386b2993c
14510d578c
1531ea1920
hex1fe52800

535111680 has 96 divisors (see below), whose sum is σ = 1712037600. Its totient is φ = 142688256.

The previous prime is 535111631. The next prime is 535111711. The reversal of 535111680 is 86111535.

535111680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22011 + ... + 39429.

It is an arithmetic number, because the mean of its divisors is an integer number (17833725).

Almost surely, 2535111680 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 535111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856018800).

535111680 is an abundant number, since it is smaller than the sum of its proper divisors (1176925920).

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

535111680 is a wasteful number, since it uses less digits than its factorization.

535111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17449 (or 17429 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 535111680 is about 23132.4810601889. The cubic root of 535111680 is about 811.8606214055.

The spelling of 535111680 in words is "five hundred thirty-five million, one hundred eleven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 17419 30720 34838 52257 69676 87095 104514 139352 174190 209028 261285 278704 348380 418056 522570 557408 696760 836112 1045140 1114816 1393520 1672224 2090280 2229632 2787040 3344448 4180560 4459264 5574080 6688896 8361120 8918528 11148160 13377792 16722240 17837056 22296320 26755584 33444480 35674112 44592640 53511168 66888960 89185280 107022336 133777920 178370560 267555840 535111680