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53630920 = 23571719593
BaseRepresentation
bin1100110010010…
…1011111001000
310201220201210101
43030211133020
5102212142140
65153255144
71220566240
oct314453710
9121821711
1053630920
1128300782
1215b644b4
13b159c95
1471a0b20
154a9599a
hex33257c8

53630920 has 128 divisors (see below), whose sum is σ = 153964800. Its totient is φ = 16367616.

The previous prime is 53630893. The next prime is 53630921. The reversal of 53630920 is 2903635.

53630920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (53630921) 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 31 ways as a sum of consecutive naturals, for example, 90144 + ... + 90736.

It is an arithmetic number, because the mean of its divisors is an integer number (1202850).

Almost surely, 253630920 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 53630920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76982400).

53630920 is an abundant number, since it is smaller than the sum of its proper divisors (100333880).

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

53630920 is a wasteful number, since it uses less digits than its factorization.

53630920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 53630920 is about 7323.3134577184. The cubic root of 53630920 is about 377.1132128849.

The spelling of 53630920 in words is "fifty-three million, six hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 19 20 28 34 35 38 40 56 68 70 76 85 95 119 133 136 140 152 170 190 238 266 280 323 340 380 476 532 593 595 646 665 680 760 952 1064 1186 1190 1292 1330 1615 2261 2372 2380 2584 2660 2965 3230 4151 4522 4744 4760 5320 5930 6460 8302 9044 10081 11267 11305 11860 12920 16604 18088 20162 20755 22534 22610 23720 33208 40324 41510 45068 45220 50405 56335 70567 78869 80648 83020 90136 90440 100810 112670 141134 157738 166040 191539 201620 225340 282268 315476 352835 383078 394345 403240 450680 564536 630952 705670 766156 788690 957695 1340773 1411340 1532312 1577380 1915390 2681546 2822680 3154760 3830780 5363092 6703865 7661560 10726184 13407730 26815460 53630920