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5353040 = 245711279
BaseRepresentation
bin10100011010111001010000
3101001221222202
4110122321100
52332244130
6310422332
763333350
oct24327120
911057882
105353040
113026900
1219619a8
1311556a4
149d4b60
1570b145
hex51ae50

5353040 has 120 divisors (see below), whose sum is σ = 15832320. Its totient is φ = 1647360.

The previous prime is 5353037. The next prime is 5353067. The reversal of 5353040 is 403535.

It is a super-4 number, since 4×53530404 (a number of 28 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67721 + ... + 67799.

It is an arithmetic number, because the mean of its divisors is an integer number (131936).

Almost surely, 25353040 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 5353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916160).

5353040 is an abundant number, since it is smaller than the sum of its proper divisors (10479280).

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

5353040 is a wasteful number, since it uses less digits than its factorization.

5353040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 5353040 is about 2313.6637612237. The cubic root of 5353040 is about 174.9310204330.

Adding to 5353040 its reverse (403535), we get a palindrome (5756575).

The spelling of 5353040 in words is "five million, three hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 79 80 88 110 112 121 140 154 158 176 220 242 280 308 316 385 395 440 484 553 560 605 616 632 770 790 847 869 880 968 1106 1210 1232 1264 1540 1580 1694 1738 1936 2212 2420 2765 3080 3160 3388 3476 4235 4345 4424 4840 5530 6083 6160 6320 6776 6952 8470 8690 8848 9559 9680 11060 12166 13552 13904 16940 17380 19118 22120 24332 30415 33880 34760 38236 44240 47795 48664 60830 66913 67760 69520 76472 95590 97328 121660 133826 152944 191180 243320 267652 334565 382360 486640 535304 669130 764720 1070608 1338260 2676520 5353040