Search a number
-
+
53665740 = 22345157211
BaseRepresentation
bin1100110010110…
…1111111001100
310201222111120000
43030231333030
5102214300430
65154124300
71221102612
oct314557714
9121874500
1053665740
1128324957
1215b80690
13b16ca9b
1471ad6b2
154aa0e60
hex332dfcc

53665740 has 120 divisors (see below), whose sum is σ = 170226672. Its totient is φ = 14152320.

The previous prime is 53665721. The next prime is 53665757. The reversal of 53665740 is 4756635.

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

It is a junction number, because it is equal to n+sod(n) for n = 53665695 and 53665704.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 254235 + ... + 254445.

Almost surely, 253665740 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 53665740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85113336).

53665740 is an abundant number, since it is smaller than the sum of its proper divisors (116560932).

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

53665740 is a wasteful number, since it uses less digits than its factorization.

53665740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 53665740 is about 7325.6904111490. The cubic root of 53665740 is about 377.1948091065.

The spelling of 53665740 in words is "fifty-three million, six hundred sixty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 157 162 180 211 270 314 324 405 422 471 540 628 633 785 810 844 942 1055 1266 1413 1570 1620 1884 1899 2110 2355 2532 2826 3140 3165 3798 4220 4239 4710 5652 5697 6330 7065 7596 8478 9420 9495 11394 12660 12717 14130 16956 17091 18990 21195 22788 25434 28260 28485 33127 34182 37980 42390 50868 56970 63585 66254 68364 84780 85455 99381 113940 127170 132508 165635 170910 198762 254340 298143 331270 341820 397524 496905 596286 662540 894429 993810 1192572 1490715 1788858 1987620 2683287 2981430 3577716 4472145 5366574 5962860 8944290 10733148 13416435 17888580 26832870 53665740