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1040785382 = 272131923173
BaseRepresentation
bin111110000010010…
…001111111100110
32200112102101010202
4332002101333212
54112420113012
6251135350502
734535346500
oct7602217746
92615371122
101040785382
1149455050a
12250682432
1313781a350
149c326d70
156158acc2
hex3e091fe6

1040785382 has 144 divisors (see below), whose sum is σ = 2159885952. Its totient is φ = 372314880.

The previous prime is 1040785381. The next prime is 1040785387. The reversal of 1040785382 is 2835870401.

It is a super-2 number, since 2×10407853822 = 2166468422769771848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040785381) 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 71 ways as a sum of consecutive naturals, for example, 14257298 + ... + 14257370.

It is an arithmetic number, because the mean of its divisors is an integer number (14999208).

Almost surely, 21040785382 is an apocalyptic number.

1040785382 is an abundant number, since it is smaller than the sum of its proper divisors (1119100570).

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

1040785382 is a wasteful number, since it uses less digits than its factorization.

1040785382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 1040785382 is about 32261.2055261424. The cubic root of 1040785382 is about 1013.4143771987.

The spelling of 1040785382 in words is "one billion, forty million, seven hundred eighty-five thousand, three hundred eighty-two".

Divisors: 1 2 7 13 14 19 26 31 38 49 62 73 91 98 133 146 182 217 247 266 361 403 434 494 511 589 637 722 806 931 949 1022 1178 1274 1387 1519 1729 1862 1898 2263 2527 2774 2821 3038 3458 3577 4123 4526 4693 5054 5642 6643 7154 7657 8246 9386 9709 11191 12103 13286 15314 15841 17689 18031 19418 19747 22382 24206 26353 28861 29419 31682 32851 35378 36062 39494 42997 46501 52706 53599 57722 58838 65702 67963 78337 85994 93002 107198 110887 126217 135926 145483 156674 184471 205933 221774 229957 252434 290966 300979 342589 368942 375193 411866 459914 548359 558961 601958 685178 750386 816943 883519 1018381 1096718 1117922 1291297 1441531 1633886 1767038 2036762 2106853 2398123 2582594 2883062 3912727 4213706 4796246 5718601 7128667 7825454 10620259 11437202 14257334 16786861 21240518 27389089 33573722 40030207 54778178 74341813 80060414 148683626 520392691 1040785382