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1041406002 = 2327133120509
BaseRepresentation
bin111110000100101…
…001100000110010
32200120120220110200
4332010221200302
54113044443002
6251200540030
734543543050
oct7604514062
92616526420
101041406002
1149493481a
12250921616
131379a6990
149c4491d0
156165eb1c
hex3e129832

1041406002 has 96 divisors (see below), whose sum is σ = 2866805760. Its totient is φ = 265783680.

The previous prime is 1041406001. The next prime is 1041406007. The reversal of 1041406002 is 2006041401.

It is a super-2 number, since 2×10414060022 = 2169052922003248008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1041406001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40524 + ... + 61032.

It is an arithmetic number, because the mean of its divisors is an integer number (29862560).

Almost surely, 21041406002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041406002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433402880).

1041406002 is an abundant number, since it is smaller than the sum of its proper divisors (1825399758).

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

1041406002 is a wasteful number, since it uses less digits than its factorization.

1041406002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20568 (or 20565 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1041406002 is about 32270.8227660839. The cubic root of 1041406002 is about 1013.6157700666.

Adding to 1041406002 its reverse (2006041401), we get a palindrome (3047447403).

The spelling of 1041406002 in words is "one billion, forty-one million, four hundred six thousand, two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 62 63 78 91 93 117 126 182 186 217 234 273 279 403 434 546 558 651 806 819 1209 1302 1638 1953 2418 2821 3627 3906 5642 7254 8463 16926 20509 25389 41018 50778 61527 123054 143563 184581 266617 287126 369162 430689 533234 635779 799851 861378 1271558 1292067 1599702 1866319 1907337 2399553 2584134 3732638 3814674 4450453 4799106 5598957 5722011 8265127 8900906 11197914 11444022 13351359 16530254 16796871 24795381 26702718 33593742 40054077 49590762 57855889 74386143 80108154 115711778 148772286 173567667 347135334 520703001 1041406002