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1410105008 = 2413149173263
BaseRepresentation
bin101010000001100…
…0111111010110000
310122021100202102102
41110003013322300
510341441330013
6351531235532
746641460214
oct12403077260
93567322372
101410105008
11663a70844
123342a8ba8
131961a9080
14d53c2944
1583bddd58
hex540c7eb0

1410105008 has 80 divisors (see below), whose sum is σ = 2990433600. Its totient is φ = 640269312.

The previous prime is 1410104989. The next prime is 1410105017. The reversal of 1410105008 is 8005010141.

It is a super-2 number, since 2×14101050082 = 3976792267173360128, which contains 22 as substring.

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, 5361485 + ... + 5361747.

It is an arithmetic number, because the mean of its divisors is an integer number (37380420).

Almost surely, 21410105008 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 1410105008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495216800).

1410105008 is an abundant number, since it is smaller than the sum of its proper divisors (1580328592).

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

1410105008 is a wasteful number, since it uses less digits than its factorization.

1410105008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 1410105008 is about 37551.3649285881. The cubic root of 1410105008 is about 1121.3740067179.

Adding to 1410105008 its reverse (8005010141), we get a palindrome (9415115149).

The spelling of 1410105008 in words is "one billion, four hundred ten million, one hundred five thousand, eight".

Divisors: 1 2 4 8 13 16 26 52 104 149 173 208 263 298 346 526 596 692 1052 1192 1384 1937 2104 2249 2384 2768 3419 3874 4208 4498 6838 7748 8996 13676 15496 17992 25777 27352 30992 35984 39187 45499 51554 54704 78374 90998 103108 156748 181996 206216 313496 335101 363992 412432 509431 591487 626992 670202 727984 1018862 1182974 1340404 2037724 2365948 2680808 4075448 4731896 5361616 6779351 8150896 9463792 13558702 27117404 54234808 88131563 108469616 176263126 352526252 705052504 1410105008