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5000431320 = 2334511291367
BaseRepresentation
bin1001010100000110…
…01000011011011000
3110220111012020020000
410222003020123120
540220102300240
62144104333000
7234625651653
oct45203103330
913814166200
105000431320
112136682075
12b76774160
13618c80001
1435617489a
151e3ede430
hex12a0c86d8

5000431320 has 160 divisors (see below), whose sum is σ = 16834197600. Its totient is φ = 1331292672.

The previous prime is 5000431291. The next prime is 5000431327. The reversal of 5000431320 is 231340005.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5000431293 and 5000431302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5000431327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3657277 + ... + 3658643.

It is an arithmetic number, because the mean of its divisors is an integer number (105213735).

Almost surely, 25000431320 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 5000431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8417098800).

5000431320 is an abundant number, since it is smaller than the sum of its proper divisors (11833766280).

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

5000431320 is a wasteful number, since it uses less digits than its factorization.

5000431320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5000431320 is about 70713.7279458522. The cubic root of 5000431320 is about 1710.0251150513.

Adding to 5000431320 its reverse (231340005), we get a palindrome (5231771325).

The spelling of 5000431320 in words is "five billion, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1129 1367 1620 2258 2734 3240 3387 4101 4516 5468 5645 6774 6835 8202 9032 10161 10936 11290 12303 13548 13670 16404 16935 20322 20505 22580 24606 27096 27340 30483 32808 33870 36909 40644 41010 45160 49212 50805 54680 60966 61515 67740 73818 81288 82020 91449 98424 101610 110727 121932 123030 135480 147636 152415 164040 182898 184545 203220 221454 243864 246060 295272 304830 365796 369090 406440 442908 457245 492120 553635 609660 731592 738180 885816 914490 1107270 1219320 1476360 1543343 1828980 2214540 3086686 3657960 4429080 4630029 6173372 7716715 9260058 12346744 13890087 15433430 18520116 23150145 27780174 30866860 37040232 41670261 46300290 55560348 61733720 69450435 83340522 92600580 111120696 125010783 138900870 166681044 185201160 208351305 250021566 277801740 333362088 416702610 500043132 555603480 625053915 833405220 1000086264 1250107830 1666810440 2500215660 5000431320