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53662680 = 23325236481
BaseRepresentation
bin1100110010110…
…1001111011000
310201222100100200
43030231033120
5102214201210
65154102200
71221060651
oct314551730
9121870320
1053662680
1128322625
1215b7a960
13b16b586
1471ac528
154aa00c0
hex332d3d8

53662680 has 96 divisors (see below), whose sum is σ = 182014560. Its totient is φ = 13685760.

The previous prime is 53662663. The next prime is 53662681. The reversal of 53662680 is 8626635.

53662680 is a `hidden beast` number, since 536 + 62 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53662681) 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, 5040 + ... + 11520.

It is an arithmetic number, because the mean of its divisors is an integer number (1895985).

Almost surely, 253662680 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 53662680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91007280).

53662680 is an abundant number, since it is smaller than the sum of its proper divisors (128351880).

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

53662680 is a wasteful number, since it uses less digits than its factorization.

53662680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6521 (or 6514 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 53662680 is about 7325.4815541369. The cubic root of 53662680 is about 377.1876398022.

The spelling of 53662680 in words is "fifty-three million, six hundred sixty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 6481 8280 12962 19443 25924 32405 38886 51848 58329 64810 77772 97215 116658 129620 149063 155544 194430 233316 259240 291645 298126 388860 447189 466632 583290 596252 745315 777720 894378 1166580 1192504 1341567 1490630 1788756 2235945 2333160 2683134 2981260 3577512 4471890 5366268 5962520 6707835 8943780 10732536 13415670 17887560 26831340 53662680