Search a number
-
+
410125020 = 22353724993
BaseRepresentation
bin11000011100100…
…000001011011100
31001120201111202120
4120130200023130
51314443000040
6104410222540
713110001524
oct3034401334
91046644676
10410125020
111a0560aa8
12b5424a50
1366c78036
143c67c684
15260137d0
hex187202dc

410125020 has 72 divisors (see below), whose sum is σ = 1180461744. Its totient is φ = 106389504.

The previous prime is 410125019. The next prime is 410125087. The reversal of 410125020 is 20521014.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79644 + ... + 84636.

It is an arithmetic number, because the mean of its divisors is an integer number (16395302).

Almost surely, 2410125020 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 410125020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590230872).

410125020 is an abundant number, since it is smaller than the sum of its proper divisors (770336724).

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

410125020 is a wasteful number, since it uses less digits than its factorization.

410125020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5079 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 410125020 is about 20251.5436448682. The cubic root of 410125020 is about 742.9713860998.

Adding to 410125020 its reverse (20521014), we get a palindrome (430646034).

The spelling of 410125020 in words is "four hundred ten million, one hundred twenty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1369 2220 2738 4107 4993 5476 6845 8214 9986 13690 14979 16428 19972 20535 24965 27380 29958 41070 49930 59916 74895 82140 99860 149790 184741 299580 369482 554223 738964 923705 1108446 1847410 2216892 2771115 3694820 5542230 6835417 11084460 13670834 20506251 27341668 34177085 41012502 68354170 82025004 102531255 136708340 205062510 410125020