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533410080 = 25357222679
BaseRepresentation
bin11111110010110…
…011000100100000
31101011201001001220
4133302303010200
52043023110310
6124532455040
716134624300
oct3762630440
91334631056
10533410080
11254106985
1212a77a480
1386682288
1450bb1600
1531c67670
hex1fcb3120

533410080 has 144 divisors (see below), whose sum is σ = 1954653120. Its totient is φ = 121916928.

The previous prime is 533410057. The next prime is 533410103. The reversal of 533410080 is 80014335.

It is an interprime number because it is at equal distance from previous prime (533410057) and next prime (533410103).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 533410080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12181 + ... + 34859.

It is an arithmetic number, because the mean of its divisors is an integer number (13573980).

Almost surely, 2533410080 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 533410080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977326560).

533410080 is an abundant number, since it is smaller than the sum of its proper divisors (1421243040).

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

533410080 is a wasteful number, since it uses less digits than its factorization.

533410080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22711 (or 22696 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 533410080 is about 23095.6723218875. The cubic root of 533410080 is about 810.9991632715. Note that the first 3 decimals are identical.

The spelling of 533410080 in words is "five hundred thirty-three million, four hundred ten thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 7840 11760 22679 23520 45358 68037 90716 113395 136074 158753 181432 226790 272148 317506 340185 362864 453580 476259 544296 635012 680370 725728 793765 907160 952518 1088592 1111271 1270024 1360740 1587530 1814320 1905036 2177184 2222542 2381295 2540048 2721480 3175060 3333813 3628640 3810072 4445084 4762590 5080096 5442960 5556355 6350120 6667626 7620144 8890168 9525180 10885920 11112710 12700240 13335252 15240288 16669065 17780336 19050360 22225420 25400480 26670504 33338130 35560672 38100720 44450840 53341008 66676260 76201440 88901680 106682016 133352520 177803360 266705040 533410080