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5342431360 = 275710111807
BaseRepresentation
bin1001111100110111…
…10000100010000000
3111210022201122002011
410332123300202000
541420130300420
62242042502304
7246250626430
oct47633604200
914708648064
105342431360
1122a1732832
121051204994
13671a94ab6
1438975c2c0
1521404795a
hex13e6f0880

5342431360 has 128 divisors (see below), whose sum is σ = 14742051840. Its totient is φ = 1813401600.

The previous prime is 5342431357. The next prime is 5342431519. The reversal of 5342431360 is 631342435.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×53424313602 = 57083145672622899200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446577 + ... + 458383.

It is an arithmetic number, because the mean of its divisors is an integer number (115172280).

Almost surely, 25342431360 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 5342431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7371025920).

5342431360 is an abundant number, since it is smaller than the sum of its proper divisors (9399620480).

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

5342431360 is a wasteful number, since it uses less digits than its factorization.

5342431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11934 (or 11922 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 5342431360 is about 73091.9377222960. The cubic root of 5342431360 is about 1748.1538473823.

Adding to 5342431360 its reverse (631342435), we get a palindrome (5973773795).

The spelling of 5342431360 in words is "five billion, three hundred forty-two million, four hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 101 112 128 140 160 202 224 280 320 404 448 505 560 640 707 808 896 1010 1120 1414 1616 2020 2240 2828 3232 3535 4040 4480 5656 6464 7070 8080 11312 11807 12928 14140 16160 22624 23614 28280 32320 45248 47228 56560 59035 64640 82649 90496 94456 113120 118070 165298 188912 226240 236140 330596 377824 413245 452480 472280 661192 755648 826490 944560 1192507 1322384 1511296 1652980 1889120 2385014 2644768 3305960 3778240 4770028 5289536 5962535 6611920 7556480 8347549 9540056 10579072 11925070 13223840 16695098 19080112 23850140 26447680 33390196 38160224 41737745 47700280 52895360 66780392 76320448 83475490 95400560 133560784 152640896 166950980 190801120 267121568 333901960 381602240 534243136 667803920 763204480 1068486272 1335607840 2671215680 5342431360