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2415255240 = 2335103263743
BaseRepresentation
bin1000111111110101…
…1101111011001000
320020022201200022210
42033331131323020
514421301131430
61035355145120
7113565221316
oct21775357310
96208650283
102415255240
11102a392012
12574a451a0
132c64ca518
1418cab10b6
15e208b2b0
hex8ff5dec8

2415255240 has 128 divisors (see below), whose sum is σ = 7353815040. Its totient is φ = 634534656.

The previous prime is 2415255221. The next prime is 2415255287. The reversal of 2415255240 is 425525142.

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 = 2415255198 and 2415255207.

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, 3250309 + ... + 3251051.

It is an arithmetic number, because the mean of its divisors is an integer number (57451680).

Almost surely, 22415255240 is an apocalyptic number.

2415255240 is a gapful number since it is divisible by the number (20) 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 2415255240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676907520).

2415255240 is an abundant number, since it is smaller than the sum of its proper divisors (4938559800).

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

2415255240 is a wasteful number, since it uses less digits than its factorization.

2415255240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 2415255240 is about 49145.2463621864. The cubic root of 2415255240 is about 1341.6966775604.

The spelling of 2415255240 in words is "two billion, four hundred fifteen million, two hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 263 309 412 515 526 618 743 789 824 1030 1052 1236 1315 1486 1545 1578 2060 2104 2229 2472 2630 2972 3090 3156 3715 3945 4120 4458 5260 5944 6180 6312 7430 7890 8916 10520 11145 12360 14860 15780 17832 22290 27089 29720 31560 44580 54178 76529 81267 89160 108356 135445 153058 162534 195409 216712 229587 270890 306116 325068 382645 390818 406335 459174 541780 586227 612232 650136 765290 781636 812670 918348 977045 1083560 1147935 1172454 1530580 1563272 1625340 1836696 1954090 2295870 2344908 2931135 3061160 3250680 3908180 4591740 4689816 5862270 7816360 9183480 11724540 20127127 23449080 40254254 60381381 80508508 100635635 120762762 161017016 201271270 241525524 301906905 402542540 483051048 603813810 805085080 1207627620 2415255240