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4115020 = 22572131719
BaseRepresentation
bin1111101100101001001100
321202001202011
433230221030
52023140040
6224111004
746656100
oct17545114
97661664
104115020
112360748
121465464
13b11030
14791900
155643ea
hex3eca4c

4115020 has 144 divisors (see below), whose sum is σ = 12065760. Its totient is φ = 1161216.

The previous prime is 4115017. The next prime is 4115021. The reversal of 4115020 is 205114.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (4115021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216571 + ... + 216589.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

Almost surely, 24115020 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 4115020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032880).

4115020 is an abundant number, since it is smaller than the sum of its proper divisors (7950740).

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

4115020 is a wasteful number, since it uses less digits than its factorization.

4115020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 4115020 is about 2028.5512071427. The cubic root of 4115020 is about 160.2472739007.

The spelling of 4115020 in words is "four million, one hundred fifteen thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 17 19 20 26 28 34 35 38 49 52 65 68 70 76 85 91 95 98 119 130 133 140 170 182 190 196 221 238 245 247 260 266 323 340 364 380 442 455 476 490 494 532 595 637 646 665 833 884 910 931 980 988 1105 1190 1235 1274 1292 1330 1547 1615 1666 1729 1820 1862 2210 2261 2380 2470 2548 2660 3094 3185 3230 3332 3458 3724 4165 4199 4420 4522 4655 4940 6188 6370 6460 6916 7735 8330 8398 8645 9044 9310 10829 11305 12103 12740 15470 15827 16660 16796 17290 18620 20995 21658 22610 24206 29393 30940 31654 34580 41990 43316 45220 48412 54145 58786 60515 63308 79135 83980 108290 117572 121030 146965 158270 205751 216580 242060 293930 316540 411502 587860 823004 1028755 2057510 4115020