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8320400124 = 22319313133761
BaseRepresentation
bin1111011111110111…
…10011101011111100
3210110212022010020120
413233323303223330
5114020010300444
63453343014540
7413121143211
oct75773635374
923425263216
108320400124
11358a715843
12174259a450
13a27a344aa
1458d06bb08
1533a6d8b19
hex1efef3afc

8320400124 has 96 divisors (see below), whose sum is σ = 21168322560. Its totient is φ = 2533939200.

The previous prime is 8320400119. The next prime is 8320400147. The reversal of 8320400124 is 4210040238.

It is a junction number, because it is equal to n+sod(n) for n = 8320400094 and 8320400103.

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, 2210404 + ... + 2214164.

It is an arithmetic number, because the mean of its divisors is an integer number (220503360).

Almost surely, 28320400124 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 8320400124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584161280).

8320400124 is an abundant number, since it is smaller than the sum of its proper divisors (12847922436).

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

8320400124 is a wasteful number, since it uses less digits than its factorization.

8320400124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 8320400124 is about 91216.2273063297. The cubic root of 8320400124 is about 2026.3512902441.

The spelling of 8320400124 in words is "eight billion, three hundred twenty million, four hundred thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 313 372 589 626 939 1178 1252 1767 1878 2356 3534 3756 3761 5947 7068 7522 9703 11283 11894 15044 17841 19406 22566 23788 29109 35682 38812 45132 58218 71364 71459 116436 116591 142918 184357 214377 233182 285836 349773 368714 428754 466364 553071 699546 737428 857508 1106142 1177193 1399092 2212284 2215229 2354386 3531579 4430458 4708772 6645687 7063158 8860916 13291374 14126316 22366667 26582748 36492983 44733334 67100001 72985966 89466668 109478949 134200002 145971932 218957898 268400004 437915796 693366677 1386733354 2080100031 2773466708 4160200062 8320400124