Search a number
-
+
1040757102 = 2327111744171
BaseRepresentation
bin111110000010001…
…011000101101110
32200112100221100100
4332002023011232
54112413211402
6251135011530
734535201160
oct7602130556
92615327310
101040757102
11494531240
12250669ba6
1313780a508
149c31a930
156158271c
hex3e08b16e

1040757102 has 96 divisors (see below), whose sum is σ = 2976839424. Its totient is φ = 254419200.

The previous prime is 1040757097. The next prime is 1040757209. The reversal of 1040757102 is 2017570401.

1040757102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1477 + ... + 45647.

It is an arithmetic number, because the mean of its divisors is an integer number (31008744).

Almost surely, 21040757102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040757102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488419712).

1040757102 is an abundant number, since it is smaller than the sum of its proper divisors (1936082322).

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

1040757102 is a wasteful number, since it uses less digits than its factorization.

1040757102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44214 (or 44211 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 1040757102 is about 32260.7672258426. The cubic root of 1040757102 is about 1013.4051983553.

The spelling of 1040757102 in words is "one billion, forty million, seven hundred fifty-seven thousand, one hundred two".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 51 63 66 77 99 102 119 126 153 154 187 198 231 238 306 357 374 462 561 693 714 1071 1122 1309 1386 1683 2142 2618 3366 3927 7854 11781 23562 44171 88342 132513 265026 309197 397539 485881 618394 750907 795078 927591 971762 1457643 1501814 1855182 2252721 2782773 2915286 3401167 4372929 4505442 5256349 5565546 6758163 6802334 8259977 8745858 10203501 10512698 13516326 15769047 16519954 20407002 24779931 30610503 31538094 47307141 49559862 57819839 61221006 74339793 94614282 115639678 148679586 173459517 346919034 520378551 1040757102