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537169680 = 24325746069
BaseRepresentation
bin100000000001001…
…000111100010000
31101102210001021100
4200001020330100
52100003412210
6125145224400
716211603235
oct4001107420
91342701240
10537169680
11256244593
1212ba92100
138739a5a8
14514ad78c
153225b5c0
hex20048f10

537169680 has 60 divisors (see below), whose sum is σ = 1803997260. Its totient is φ = 143245056.

The previous prime is 537169673. The next prime is 537169687. The reversal of 537169680 is 86961735.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (537169673) and next prime (537169687).

It can be written as a sum of positive squares in 2 ways, for example, as 401120784 + 136048896 = 20028^2 + 11664^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×5371696802 = 577102530222604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (537169687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 372315 + ... + 373754.

It is an arithmetic number, because the mean of its divisors is an integer number (30066621).

Almost surely, 2537169680 is an apocalyptic number.

It is an amenable number.

537169680 is an abundant number, since it is smaller than the sum of its proper divisors (1266827580).

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

537169680 is a wasteful number, since it uses less digits than its factorization.

537169680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746088 (or 746079 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 537169680 is about 23176.9212795833. The cubic root of 537169680 is about 812.9000753176.

The spelling of 537169680 in words is "five hundred thirty-seven million, one hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 746069 1492138 2238207 2984276 3730345 4476414 5968552 6714621 7460690 8952828 11191035 11937104 13429242 14921380 17905656 22382070 26858484 29842760 33573105 35811312 44764140 53716968 59685520 67146210 89528280 107433936 134292420 179056560 268584840 537169680