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1050065104 = 241124113229
BaseRepresentation
bin111110100101101…
…011100011010000
32201011212211112011
4332211223203100
54122304040404
6252110312304
735010256204
oct7645534320
92634784464
101050065104
11499809500
122537b8694
131397190ca
149d660b04
15622c0604
hex3e96b8d0

1050065104 has 60 divisors (see below), whose sum is σ = 2290986180. Its totient is φ = 465625600.

The previous prime is 1050065101. The next prime is 1050065113. The reversal of 1050065104 is 4015600501.

It can be written as a sum of positive squares in 2 ways, for example, as 622402704 + 427662400 = 24948^2 + 20680^2 .

It is a super-2 number, since 2×10500651042 = 2205273445277061632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050065101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72762 + ... + 85990.

It is an arithmetic number, because the mean of its divisors is an integer number (38183103).

Almost surely, 21050065104 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 1050065104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145493090).

1050065104 is an abundant number, since it is smaller than the sum of its proper divisors (1240921076).

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

1050065104 is a wasteful number, since it uses less digits than its factorization.

1050065104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13300 (or 13283 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 1050065104 is about 32404.7080529975. The cubic root of 1050065104 is about 1016.4173631961.

Adding to 1050065104 its reverse (4015600501), we get a palindrome (5065665605).

The spelling of 1050065104 in words is "one billion, fifty million, sixty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 121 164 176 242 328 451 484 656 902 968 1804 1936 3608 4961 7216 9922 13229 19844 26458 39688 52916 79376 105832 145519 211664 291038 542389 582076 1084778 1164152 1600709 2169556 2328304 3201418 4339112 5966279 6402836 8678224 11932558 12805672 23865116 25611344 47730232 65629069 95460464 131258138 262516276 525032552 1050065104