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5431440 = 243575361
BaseRepresentation
bin10100101110000010010000
3101012221112110
4110232002100
52342301230
6312225320
764111050
oct24560220
911187473
105431440
11307a7a3
12199b240
131182291
14a15560
157244b0
hex52e090

5431440 has 160 divisors (see below), whose sum is σ = 19927296. Its totient is φ = 1198080.

The previous prime is 5431399. The next prime is 5431441. The reversal of 5431440 is 441345.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (5431441) 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, 89010 + ... + 89070.

Almost surely, 25431440 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 5431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9963648).

5431440 is an abundant number, since it is smaller than the sum of its proper divisors (14495856).

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

5431440 is a wasteful number, since it uses less digits than its factorization.

5431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 5431440 is about 2330.5450006383. The cubic root of 5431440 is about 175.7808912487.

Adding to 5431440 its reverse (441345), we get a palindrome (5872785).

The spelling of 5431440 in words is "five million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 53 56 60 61 70 80 84 105 106 112 120 122 140 159 168 183 210 212 240 244 265 280 305 318 336 366 371 420 424 427 488 530 560 610 636 732 742 795 840 848 854 915 976 1060 1113 1220 1272 1281 1464 1484 1590 1680 1708 1830 1855 2120 2135 2226 2440 2544 2562 2928 2968 3180 3233 3416 3660 3710 4240 4270 4452 4880 5124 5565 5936 6360 6405 6466 6832 7320 7420 8540 8904 9699 10248 11130 12720 12810 12932 14640 14840 16165 17080 17808 19398 20496 22260 22631 25620 25864 29680 32330 34160 38796 44520 45262 48495 51240 51728 64660 67893 77592 89040 90524 96990 102480 113155 129320 135786 155184 181048 193980 226310 258640 271572 339465 362096 387960 452620 543144 678930 775920 905240 1086288 1357860 1810480 2715720 5431440