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415130010 = 23537616131
BaseRepresentation
bin11000101111100…
…110000110011010
31001221010210022120
4120233212012122
51322233130020
6105105402110
713200355401
oct3057460632
91057123276
10415130010
111a336a359
12b7039336
136800b179
143d1c2638
15266a1740
hex18be619a

415130010 has 64 divisors (see below), whose sum is σ = 1040183424. Its totient is φ = 105926400.

The previous prime is 415129969. The next prime is 415130029. The reversal of 415130010 is 10031514.

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

It is a Curzon number.

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, 64645 + ... + 70775.

It is an arithmetic number, because the mean of its divisors is an integer number (16252866).

Almost surely, 2415130010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415130010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520091712).

415130010 is an abundant number, since it is smaller than the sum of its proper divisors (625053414).

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

415130010 is a wasteful number, since it uses less digits than its factorization.

415130010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6239.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 415130010 is about 20374.7395075373. The cubic root of 415130010 is about 745.9814759636.

Adding to 415130010 its reverse (10031514), we get a palindrome (425161524).

The spelling of 415130010 in words is "four hundred fifteen million, one hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 61 74 111 122 183 185 222 305 366 370 555 610 915 1110 1830 2257 4514 6131 6771 11285 12262 13542 18393 22570 30655 33855 36786 61310 67710 91965 183930 226847 373991 453694 680541 747982 1121973 1134235 1361082 1869955 2243946 2268470 3402705 3739910 5609865 6805410 11219730 13837667 27675334 41513001 69188335 83026002 138376670 207565005 415130010