Search a number
-
+
410402040 = 233513126107
BaseRepresentation
bin11000011101100…
…011110011111000
31001121020120202120
4120131203303320
51320030331130
6104420201240
713112234256
oct3035436370
91047216676
10410402040
111a0730144
12b5539220
1367044159
143c7115d6
152606a910
hex18763cf8

410402040 has 64 divisors (see below), whose sum is σ = 1240652160. Its totient is φ = 108600960.

The previous prime is 410402021. The next prime is 410402099. The reversal of 410402040 is 40204014.

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 15 ways as a sum of consecutive naturals, for example, 2667 + ... + 28773.

It is an arithmetic number, because the mean of its divisors is an integer number (19385190).

Almost surely, 2410402040 is an apocalyptic number.

410402040 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 410402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620326080).

410402040 is an abundant number, since it is smaller than the sum of its proper divisors (830250120).

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

410402040 is a wasteful number, since it uses less digits than its factorization.

410402040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26252 (or 26248 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 410402040 is about 20258.3819689530. The cubic root of 410402040 is about 743.1386290953.

Adding to 410402040 its reverse (40204014), we get a palindrome (450606054).

The spelling of 410402040 in words is "four hundred ten million, four hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3930 5240 7860 15720 26107 52214 78321 104428 130535 156642 208856 261070 313284 391605 522140 626568 783210 1044280 1566420 3132840 3420017 6840034 10260051 13680068 17100085 20520102 27360136 34200170 41040204 51300255 68400340 82080408 102600510 136800680 205201020 410402040