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1040010412 = 2272329233239
BaseRepresentation
bin111101111111010…
…100110010101100
32200110222000002011
4331333110302230
54112220313122
6251111011004
734525641220
oct7577246254
92613860064
101040010412
11494071241
12250369a64
1313760869c
149c1a4780
1561486377
hex3dfd4cac

1040010412 has 96 divisors (see below), whose sum is σ = 2264371200. Its totient is φ = 408156672.

The previous prime is 1040010409. The next prime is 1040010457. The reversal of 1040010412 is 2140100401.

It is a junction number, because it is equal to n+sod(n) for n = 1040010392 and 1040010401.

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, 4351389 + ... + 4351627.

It is an arithmetic number, because the mean of its divisors is an integer number (23587200).

Almost surely, 21040010412 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 1040010412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132185600).

1040010412 is an abundant number, since it is smaller than the sum of its proper divisors (1224360788).

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

1040010412 is a wasteful number, since it uses less digits than its factorization.

1040010412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1040010412 is about 32249.1924239972. The cubic root of 1040010412 is about 1013.1627849037.

Adding to 1040010412 its reverse (2140100401), we get a palindrome (3180110813).

The spelling of 1040010412 in words is "one billion, forty million, ten thousand, four hundred twelve".

Divisors: 1 2 4 7 14 23 28 29 46 58 92 116 161 203 233 239 322 406 466 478 644 667 812 932 956 1334 1631 1673 2668 3262 3346 4669 5359 5497 6524 6692 6757 6931 9338 10718 10994 13514 13862 18676 21436 21988 27028 27724 37513 38479 47299 48517 55687 75026 76958 94598 97034 111374 150052 153916 155411 159413 189196 194068 222748 310822 318826 389809 621644 637652 779618 1087877 1115891 1280801 1559236 1614923 2175754 2231782 2561602 3229846 4351508 4463564 5123204 6459692 8965607 11304461 17931214 22608922 35862428 37143229 45217844 74286458 148572916 260002603 520005206 1040010412