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53364720 = 2435435171
BaseRepresentation
bin1100101110010…
…0011111110000
310201102012122010
43023210133300
5102130132340
65143442520
71215410163
oct313443760
9121365563
1053364720
1128139782
1215a56440
13b095a76
147131ada
154a41b80
hex32e47f0

53364720 has 80 divisors (see below), whose sum is σ = 169310592. Its totient is φ = 13896960.

The previous prime is 53364713. The next prime is 53364721. The reversal of 53364720 is 2746335.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53364721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7735 + ... + 12905.

Almost surely, 253364720 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 53364720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84655296).

53364720 is an abundant number, since it is smaller than the sum of its proper divisors (115945872).

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

53364720 is a wasteful number, since it uses less digits than its factorization.

53364720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5230 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 53364720 is about 7305.1160155058. The cubic root of 53364720 is about 376.4882370326.

The spelling of 53364720 in words is "fifty-three million, three hundred sixty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 5171 10320 10342 15513 20684 25855 31026 41368 51710 62052 77565 82736 103420 124104 155130 206840 222353 248208 310260 413680 444706 620520 667059 889412 1111765 1241040 1334118 1778824 2223530 2668236 3335295 3557648 4447060 5336472 6670590 8894120 10672944 13341180 17788240 26682360 53364720