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1071404004 = 2231179127809
BaseRepresentation
bin111111110111000…
…101001111100100
32202200000221222210
4333313011033210
54143234412004
6254151523420
735356532556
oct7767051744
92680027883
101071404004
114aa863760
1225a989570
13140c7aa88
14a24174d6
15640d8089
hex3fdc53e4

1071404004 has 96 divisors (see below), whose sum is σ = 2786918400. Its totient is φ = 317640960.

The previous prime is 1071403997. The next prime is 1071404023. The reversal of 1071404004 is 4004041701.

It is a super-2 number, since 2×10714040042 = 2295813079574464032, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1323952 + ... + 1324760.

It is an arithmetic number, because the mean of its divisors is an integer number (29030400).

Almost surely, 21071404004 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 1071404004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393459200).

1071404004 is an abundant number, since it is smaller than the sum of its proper divisors (1715514396).

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

1071404004 is a wasteful number, since it uses less digits than its factorization.

1071404004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 1071404004 is about 32732.3082595774. The cubic root of 1071404004 is about 1023.2562870218.

Adding to 1071404004 its reverse (4004041701), we get a palindrome (5075445705).

The spelling of 1071404004 in words is "one billion, seventy-one million, four hundred four thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 127 132 158 237 254 316 381 474 508 762 809 869 948 1397 1524 1618 1738 2427 2607 2794 3236 3476 4191 4854 5214 5588 8382 8899 9708 10033 10428 16764 17798 20066 26697 30099 35596 40132 53394 60198 63911 102743 106788 110363 120396 127822 191733 205486 220726 255644 308229 331089 383466 410972 441452 616458 662178 703021 766932 1130173 1232916 1324356 1406042 2109063 2260346 2812084 3390519 4218126 4520692 6781038 8116697 8436252 13562076 16233394 24350091 32466788 48700182 89283667 97400364 178567334 267851001 357134668 535702002 1071404004