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5335440 = 2435114347
BaseRepresentation
bin10100010110100110010000
3101001001211220
4110112212100
52331213230
6310205040
763231135
oct24264620
911031756
105335440
113014660
121953780
13114a686
149cc58c
15705d10
hex516990

5335440 has 160 divisors (see below), whose sum is σ = 18855936. Its totient is φ = 1236480.

The previous prime is 5335439. The next prime is 5335459. The reversal of 5335440 is 445335.

It is a happy number.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 53 + 312 + 312 + 57 + 4 + 411 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 5335440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113497 + ... + 113543.

Almost surely, 25335440 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 5335440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9427968).

5335440 is an abundant number, since it is smaller than the sum of its proper divisors (13520496).

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

5335440 is a wasteful number, since it uses less digits than its factorization.

5335440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

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

The square root of 5335440 is about 2309.8571384395. The cubic root of 5335440 is about 174.7390942046.

It can be divided in two parts, 5335 and 440, that added together give a palindrome (5775).

The spelling of 5335440 in words is "five million, three hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 43 44 47 48 55 60 66 80 86 88 94 110 120 129 132 141 165 172 176 188 215 220 235 240 258 264 282 330 344 376 430 440 470 473 516 517 528 564 645 660 688 705 752 860 880 940 946 1032 1034 1128 1290 1320 1410 1419 1551 1720 1880 1892 2021 2064 2068 2256 2365 2580 2585 2640 2820 2838 3102 3440 3760 3784 4042 4136 4730 5160 5170 5640 5676 6063 6204 7095 7568 7755 8084 8272 9460 10105 10320 10340 11280 11352 12126 12408 14190 15510 16168 18920 20210 20680 22231 22704 24252 24816 28380 30315 31020 32336 37840 40420 41360 44462 48504 56760 60630 62040 66693 80840 88924 97008 111155 113520 121260 124080 133386 161680 177848 222310 242520 266772 333465 355696 444620 485040 533544 666930 889240 1067088 1333860 1778480 2667720 5335440