Search a number
-
+
1042009056 = 253311109639
BaseRepresentation
bin111110000110111…
…100101111100000
32200121201112201000
4332012330233200
54113223242211
6251221512000
734551634164
oct7606745740
92617645630
101042009056
11495206910
12250b72600
13137b5830a
149c564ca4
156172d656
hex3e1bcbe0

1042009056 has 96 divisors (see below), whose sum is σ = 3315513600. Its totient is φ = 315757440.

The previous prime is 1042009037. The next prime is 1042009057. The reversal of 1042009056 is 6509002401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10420090562 = 2171565745572022272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042009057) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45316 + ... + 64323.

It is an arithmetic number, because the mean of its divisors is an integer number (34536600).

Almost surely, 21042009056 is an apocalyptic number.

1042009056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1042009056 is an abundant number, since it is smaller than the sum of its proper divisors (2273504544).

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

1042009056 is a wasteful number, since it uses less digits than its factorization.

1042009056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109669 (or 109655 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1042009056 is about 32280.1650553401. The cubic root of 1042009056 is about 1013.8113860869.

The spelling of 1042009056 in words is "one billion, forty-two million, nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 109639 219278 328917 438556 657834 877112 986751 1206029 1315668 1754224 1973502 2412058 2631336 2960253 3508448 3618087 3947004 4824116 5262672 5920506 7236174 7894008 9648232 10525344 10854261 11841012 14472348 15788016 19296464 21708522 23682024 28944696 31576032 32562783 38592928 43417044 47364048 57889392 65125566 86834088 94728096 115778784 130251132 173668176 260502264 347336352 521004528 1042009056