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53693240 = 23519314353
BaseRepresentation
bin1100110011010…
…0101100111000
310202000220021112
43030310230320
5102221140430
65154455452
71221246026
oct314645470
9122026245
1053693240
1128343587
1215b94588
13b17c463
1471b9716
154aa9195
hex3334b38

53693240 has 128 divisors (see below), whose sum is σ = 136857600. Its totient is φ = 18869760.

The previous prime is 53693173. The next prime is 53693243. The reversal of 53693240 is 4239635.

53693240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×536932403 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53693197 and 53693206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53693243) 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, 1013054 + ... + 1013106.

It is an arithmetic number, because the mean of its divisors is an integer number (1069200).

Almost surely, 253693240 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 53693240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68428800).

53693240 is an abundant number, since it is smaller than the sum of its proper divisors (83164360).

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

53693240 is a wasteful number, since it uses less digits than its factorization.

53693240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 53693240 is about 7327.5671269528. The cubic root of 53693240 is about 377.2592269018.

The spelling of 53693240 in words is "fifty-three million, six hundred ninety-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 43 53 62 76 86 95 106 124 152 155 172 190 212 215 248 265 310 344 380 424 430 530 589 620 760 817 860 1007 1060 1178 1240 1333 1634 1643 1720 2014 2120 2279 2356 2666 2945 3268 3286 4028 4085 4558 4712 5035 5332 5890 6536 6572 6665 8056 8170 8215 9116 10070 10664 11395 11780 13144 13330 16340 16430 18232 20140 22790 23560 25327 26660 31217 32680 32860 40280 43301 45580 50654 53320 62434 65720 70649 86602 91160 101308 124868 126635 141298 156085 173204 202616 216505 249736 253270 282596 312170 346408 353245 433010 506540 565192 624340 706490 866020 1013080 1248680 1342331 1412980 1732040 2684662 2825960 5369324 6711655 10738648 13423310 26846620 53693240