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53680536 = 23337132731
BaseRepresentation
bin1100110011000…
…1100110011000
310202000020212000
43030301212120
5102220234121
65154321000
71221164010
oct314614630
9122006760
1053680536
1128334a88
1215b89160
13b176740
1471b4c40
154aa5526
hex3331998

53680536 has 128 divisors (see below), whose sum is σ = 183590400. Its totient is φ = 14152320.

The previous prime is 53680531. The next prime is 53680541. The reversal of 53680536 is 63508635.

It is an interprime number because it is at equal distance from previous prime (53680531) and next prime (53680541).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 53680536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53680531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18291 + ... + 21021.

It is an arithmetic number, because the mean of its divisors is an integer number (1434300).

Almost surely, 253680536 is an apocalyptic number.

53680536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53680536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91795200).

53680536 is an abundant number, since it is smaller than the sum of its proper divisors (129909864).

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

53680536 is a wasteful number, since it uses less digits than its factorization.

53680536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 53680536 is about 7326.7002122374. The cubic root of 53680536 is about 377.2294709570.

The spelling of 53680536 in words is "fifty-three million, six hundred eighty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2731 2808 3276 4914 5462 6552 8193 9828 10924 16386 19117 19656 21848 24579 32772 35503 38234 49158 57351 65544 71006 73737 76468 98316 106509 114702 142012 147474 152936 172053 196632 213018 229404 248521 284024 294948 319527 344106 426036 458808 497042 516159 589896 639054 688212 745563 852072 958581 994084 1032318 1278108 1376424 1491126 1917162 1988168 2064636 2236689 2556216 2982252 3834324 4129272 4473378 5964504 6710067 7668648 8946756 13420134 17893512 26840268 53680536