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53542320 = 2435131312
BaseRepresentation
bin1100110000111…
…1110110110000
310201202020020220
43030033312300
5102201323240
65151333040
71220050026
oct314176660
9121666226
1053542320
1128250157
1215b21180
13b128860
14717a716
154a795d0
hex330fdb0

53542320 has 120 divisors (see below), whose sum is σ = 180123888. Its totient is φ = 13079040.

The previous prime is 53542319. The next prime is 53542327. The reversal of 53542320 is 2324535.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (53542327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408655 + ... + 408785.

Almost surely, 253542320 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 53542320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90061944).

53542320 is an abundant number, since it is smaller than the sum of its proper divisors (126581568).

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

53542320 is a wasteful number, since it uses less digits than its factorization.

53542320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 53542320 is about 7317.2617829349. The cubic root of 53542320 is about 376.9054307142.

Adding to 53542320 its reverse (2324535), we get a palindrome (55866855).

The spelling of 53542320 in words is "fifty-three million, five hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 131 156 195 208 240 260 262 312 390 393 520 524 624 655 780 786 1040 1048 1310 1560 1572 1703 1965 2096 2620 3120 3144 3406 3930 5109 5240 6288 6812 7860 8515 10218 10480 13624 15720 17030 17161 20436 25545 27248 31440 34060 34322 40872 51090 51483 68120 68644 81744 85805 102180 102966 136240 137288 171610 204360 205932 223093 257415 274576 343220 408720 411864 446186 514830 669279 686440 823728 892372 1029660 1115465 1338558 1372880 1784744 2059320 2230930 2677116 3346395 3569488 4118640 4461860 5354232 6692790 8923720 10708464 13385580 17847440 26771160 53542320