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400003680560 = 245111275776203
BaseRepresentation
bin1011101001000100001…
…00111100100100110000
31102020110221111100202212
411310202010330210300
523023201420234220
6503431551031252
740620315120341
oct5644204744460
91366427440685
10400003680560
11144705716690
126563450b528
132b9493296a3
14155088800c8
15a611dc40c5
hex5d2213c930

400003680560 has 160 divisors (see below), whose sum is σ = 1024480714752. Its totient is φ = 144037232640.

The previous prime is 400003680551. The next prime is 400003680617. The reversal of 400003680560 is 65086300004.

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, 64482419 + ... + 64488621.

Almost surely, 2400003680560 is an apocalyptic number.

400003680560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400003680560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512240357376).

400003680560 is an abundant number, since it is smaller than the sum of its proper divisors (624477034192).

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

400003680560 is a wasteful number, since it uses less digits than its factorization.

400003680560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6931 (or 6925 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 400003680560 its reverse (65086300004), we get a palindrome (465089980564).

The spelling of 400003680560 in words is "four hundred billion, three million, six hundred eighty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 127 176 220 254 440 508 577 635 880 1016 1154 1270 1397 2032 2308 2540 2794 2885 4616 5080 5588 5770 6203 6347 6985 9232 10160 11176 11540 12406 12694 13970 22352 23080 24812 25388 27940 31015 31735 46160 49624 50776 55880 62030 63470 68233 73279 99248 101552 111760 124060 126940 136466 146558 248120 253880 272932 293116 341165 366395 496240 507760 545864 586232 682330 732790 787781 806069 1091728 1172464 1364660 1465580 1575562 1612138 2729320 2931160 3151124 3224276 3579131 3938905 4030345 5458640 5862320 6302248 6448552 7158262 7877810 8060690 8665591 12604496 12897104 14316524 15755620 16121380 17331182 17895655 28633048 31511240 32242760 34662364 35791310 39370441 43327955 57266096 63022480 64485520 69324728 71582620 78740882 86655910 138649456 143165240 157481764 173311820 196852205 286330480 314963528 346623640 393704410 454549637 629927056 693247280 787408820 909099274 1574817640 1818198548 2272748185 3149635280 3636397096 4545496370 5000046007 7272794192 9090992740 10000092014 18181985480 20000184028 25000230035 36363970960 40000368056 50000460070 80000736112 100000920140 200001840280 400003680560