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53534040 = 23357101631
BaseRepresentation
bin1100110000110…
…1110101011000
310201201210220020
43030031311120
5102201042130
65151230440
71220013630
oct314156530
9121653806
1053534040
1128244a0a
1215b18420
13b124b61
1471776c0
154a76e10
hex330dd58

53534040 has 128 divisors (see below), whose sum is σ = 185656320. Its totient is φ = 12096000.

The previous prime is 53533979. The next prime is 53534051. The reversal of 53534040 is 4043535.

It is a happy number.

53534040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 53534040.

It is a congruent number.

It is an unprimeable number.

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, 84525 + ... + 85155.

It is an arithmetic number, because the mean of its divisors is an integer number (1450440).

Almost surely, 253534040 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 53534040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92828160).

53534040 is an abundant number, since it is smaller than the sum of its proper divisors (132122280).

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

53534040 is a wasteful number, since it uses less digits than its factorization.

53534040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 53534040 is about 7316.6959756437. The cubic root of 53534040 is about 376.8860009880.

Adding to 53534040 its reverse (4043535), we get a palindrome (57577575).

The spelling of 53534040 in words is "fifty-three million, five hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 101 105 120 140 168 202 210 280 303 404 420 505 606 631 707 808 840 1010 1212 1262 1414 1515 1893 2020 2121 2424 2524 2828 3030 3155 3535 3786 4040 4242 4417 5048 5656 6060 6310 7070 7572 8484 8834 9465 10605 12120 12620 13251 14140 15144 16968 17668 18930 21210 22085 25240 26502 28280 35336 37860 42420 44170 53004 63731 66255 75720 84840 88340 106008 127462 132510 176680 191193 254924 265020 318655 382386 446117 509848 530040 637310 764772 892234 955965 1274620 1338351 1529544 1784468 1911930 2230585 2549240 2676702 3568936 3823860 4461170 5353404 6691755 7647720 8922340 10706808 13383510 17844680 26767020 53534040