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1063013406 = 2371319432383
BaseRepresentation
bin111111010111000…
…100110000011110
32202002020200020220
4333113010300132
54134112412111
6253252022210
735225315310
oct7727046036
92662220226
101063013406
114a6052784
12258001966
1313c300920
14a12717b0
15634cbe06
hex3f5c4c1e

1063013406 has 128 divisors (see below), whose sum is σ = 2819604480. Its totient is φ = 259314048.

The previous prime is 1063013353. The next prime is 1063013411. The reversal of 1063013406 is 6043103601.

It is a super-2 number, since 2×10630134062 = 2259995002671441672, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444891 + ... + 447273.

It is an arithmetic number, because the mean of its divisors is an integer number (22028160).

Almost surely, 21063013406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1063013406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409802240).

1063013406 is an abundant number, since it is smaller than the sum of its proper divisors (1756591074).

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

1063013406 is a wasteful number, since it uses less digits than its factorization.

1063013406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1063013406 is about 32603.8863634383. The cubic root of 1063013406 is about 1020.5781055800.

The spelling of 1063013406 in words is "one billion, sixty-three million, thirteen thousand, four hundred six".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 43 57 78 86 91 114 129 133 182 247 258 266 273 301 399 494 546 559 602 741 798 817 903 1118 1482 1634 1677 1729 1806 2383 2451 3354 3458 3913 4766 4902 5187 5719 7149 7826 10374 10621 11438 11739 14298 16681 17157 21242 23478 30979 31863 33362 34314 45277 50043 61958 63726 74347 90554 92937 100086 102469 135831 148694 185874 204938 216853 223041 271662 307407 316939 433706 446082 588601 614814 633878 650559 717283 950817 1177202 1301118 1332097 1434566 1765803 1901634 1946911 2151849 2664194 3531606 3893822 3996291 4120207 4303698 5840733 7992582 8240414 9324679 11681466 12360621 13628377 18649358 24721242 25309843 27256754 27974037 40885131 50619686 55948074 75929529 81770262 151859058 177168901 354337802 531506703 1063013406