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53347320 = 233251311399
BaseRepresentation
bin1100101110000…
…0001111111000
310201101022202200
43023200033320
5102124103240
65143230200
71215305355
oct313401770
9121338680
1053347320
11281276a4
1215a48360
13b08ab80
14712962c
154a3b930
hex32e03f8

53347320 has 96 divisors (see below), whose sum is σ = 186732000. Its totient is φ = 13130496.

The previous prime is 53347319. The next prime is 53347321. The reversal of 53347320 is 2374335.

53347320 is a `hidden beast` number, since 5 + 334 + 7 + 320 = 666.

53347320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53347319) and next prime (53347321).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53347321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020 + ... + 10379.

It is an arithmetic number, because the mean of its divisors is an integer number (1945125).

Almost surely, 253347320 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 53347320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93366000).

53347320 is an abundant number, since it is smaller than the sum of its proper divisors (133384680).

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

53347320 is a wasteful number, since it uses less digits than its factorization.

53347320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11429 (or 11422 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 53347320 is about 7303.9249722324. The cubic root of 53347320 is about 376.4473135695.

The spelling of 53347320 in words is "fifty-three million, three hundred forty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 11399 22798 34197 45596 56995 68394 91192 102591 113990 136788 148187 170985 205182 227980 273576 296374 341970 410364 444561 455960 512955 592748 683940 740935 820728 889122 1025910 1185496 1333683 1367880 1481870 1778244 2051820 2222805 2667366 2963740 3556488 4103640 4445610 5334732 5927480 6668415 8891220 10669464 13336830 17782440 26673660 53347320