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53652420 = 223251272347
BaseRepresentation
bin1100110010101…
…0101111000100
310201221211021200
43030222233010
5102213334140
65153542500
71221016023
oct314525704
9121854250
1053652420
1128315948
1215b74a30
13b1669c3
1471a88ba
154a9c030
hex332abc4

53652420 has 72 divisors (see below), whose sum is σ = 164097024. Its totient is φ = 14188608.

The previous prime is 53652419. The next prime is 53652421. The reversal of 53652420 is 2425635.

53652420 is a `hidden beast` number, since 5 + 3 + 652 + 4 + 2 + 0 = 666.

53652420 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 (53652419) and next prime (53652421).

It is not an unprimeable number, because it can be changed into a prime (53652421) 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, 21687 + ... + 24033.

Almost surely, 253652420 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 53652420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82048512).

53652420 is an abundant number, since it is smaller than the sum of its proper divisors (110444604).

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

53652420 is a wasteful number, since it uses less digits than its factorization.

53652420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 53652420 is about 7324.7812254019. The cubic root of 53652420 is about 377.1635995577.

Adding to 53652420 its product of nonzero digits (7200), we get a triangular number (53659620 = T10359).

The spelling of 53652420 in words is "fifty-three million, six hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2347 2540 3810 4572 4694 5715 7041 7620 9388 11430 11735 14082 21123 22860 23470 28164 35205 42246 46940 70410 84492 105615 140820 211230 298069 422460 596138 894207 1192276 1490345 1788414 2682621 2980690 3576828 4471035 5365242 5961380 8942070 10730484 13413105 17884140 26826210 53652420