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53346740 = 2254167971
BaseRepresentation
bin1100101110000…
…0000110110100
310201101021222012
43023200012310
5102124043430
65143223352
71215303566
oct313400664
9121337865
1053346740
1128127217
1215a47b58
13b08a825
147129336
154a3b695
hex32e01b4

53346740 has 48 divisors (see below), whose sum is σ = 116593344. Its totient is φ = 20486400.

The previous prime is 53346719. The next prime is 53346743. The reversal of 53346740 is 4764335.

It is a junction number, because it is equal to n+sod(n) for n = 53346697 and 53346706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53346743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54455 + ... + 55425.

It is an arithmetic number, because the mean of its divisors is an integer number (2429028).

Almost surely, 253346740 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 53346740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58296672).

53346740 is an abundant number, since it is smaller than the sum of its proper divisors (63246604).

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

53346740 is a wasteful number, since it uses less digits than its factorization.

53346740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 53346740 is about 7303.8852674450. The cubic root of 53346740 is about 376.4459493009.

The spelling of 53346740 in words is "fifty-three million, three hundred forty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 41 67 82 134 164 205 268 335 410 670 820 971 1340 1942 2747 3884 4855 5494 9710 10988 13735 19420 27470 39811 54940 65057 79622 130114 159244 199055 260228 325285 398110 650570 796220 1301140 2667337 5334674 10669348 13336685 26673370 53346740