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5132515440 = 2435132396883
BaseRepresentation
bin1001100011110101…
…11111100001110000
3111020200201210120110
410301322333201300
541002410443230
62205143341320
7241121442603
oct46172774160
914220653513
105132515440
1121a41978a8
12bb2a51840
1363a4482b0
1436991833a
152008d04b0
hex131ebf870

5132515440 has 160 divisors (see below), whose sum is σ = 17208898560. Its totient is φ = 1257919488.

The previous prime is 5132515351. The next prime is 5132515447. The reversal of 5132515440 is 445152315.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5132515398 and 5132515407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5132515447) 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, 742239 + ... + 749121.

It is an arithmetic number, because the mean of its divisors is an integer number (107555616).

Almost surely, 25132515440 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 5132515440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8604449280).

5132515440 is an abundant number, since it is smaller than the sum of its proper divisors (12076383120).

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

5132515440 is a wasteful number, since it uses less digits than its factorization.

5132515440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7151 (or 7145 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 5132515440 is about 71641.5761970659. The cubic root of 5132515440 is about 1724.9509685706.

Adding to 5132515440 its reverse (445152315), we get a palindrome (5577667755).

The spelling of 5132515440 in words is "five billion, one hundred thirty-two million, five hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 239 240 260 312 390 478 520 624 717 780 956 1040 1195 1434 1560 1912 2390 2868 3107 3120 3585 3824 4780 5736 6214 6883 7170 9321 9560 11472 12428 13766 14340 15535 18642 19120 20649 24856 27532 28680 31070 34415 37284 41298 46605 49712 55064 57360 62140 68830 74568 82596 89479 93210 103245 110128 124280 137660 149136 165192 178958 186420 206490 248560 268437 275320 330384 357916 372840 412980 447395 536874 550640 715832 745680 825960 894790 1073748 1342185 1431664 1645037 1651920 1789580 2147496 2684370 3290074 3579160 4294992 4935111 5368740 6580148 7158320 8225185 9870222 10737480 13160296 16450370 19740444 21385481 21474960 24675555 26320592 32900740 39480888 42770962 49351110 64156443 65801480 78961776 85541924 98702220 106927405 128312886 131602960 171083848 197404440 213854810 256625772 320782215 342167696 394808880 427709620 513251544 641564430 855419240 1026503088 1283128860 1710838480 2566257720 5132515440