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1042046040 = 233578211511
BaseRepresentation
bin111110000111000…
…101110001011000
32200121210102102210
4332013011301120
54113230433130
6251222355120
734552150050
oct7607056130
92617712383
101042046040
11495231682
12250b8baa0
13137b6c0b9
149c574560
15617395b0
hex3e1c5c58

1042046040 has 128 divisors (see below), whose sum is σ = 3579448320. Its totient is φ = 237734400.

The previous prime is 1042046039. The next prime is 1042046041. The reversal of 1042046040 is 406402401.

1042046040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1042046039) and next prime (1042046041).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1042045998 and 1042046016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042046041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688885 + ... + 690395.

It is an arithmetic number, because the mean of its divisors is an integer number (27964440).

Almost surely, 21042046040 is an apocalyptic number.

1042046040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042046040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789724160).

1042046040 is an abundant number, since it is smaller than the sum of its proper divisors (2537402280).

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

1042046040 is a wasteful number, since it uses less digits than its factorization.

1042046040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1042046040 is about 32280.7379097814. The cubic root of 1042046040 is about 1013.8233803386.

Adding to 1042046040 its reverse (406402401), we get a palindrome (1448448441).

The spelling of 1042046040 in words is "one billion, forty-two million, forty-six thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 821 840 1511 1642 2463 3022 3284 4105 4533 4926 5747 6044 6568 7555 8210 9066 9852 10577 11494 12088 12315 15110 16420 17241 18132 19704 21154 22665 22988 24630 28735 30220 31731 32840 34482 36264 42308 45330 45976 49260 52885 57470 60440 63462 68964 84616 86205 90660 98520 105770 114940 126924 137928 158655 172410 181320 211540 229880 253848 317310 344820 423080 634620 689640 1240531 1269240 2481062 3721593 4962124 6202655 7443186 8683717 9924248 12405310 14886372 17367434 18607965 24810620 26051151 29772744 34734868 37215930 43418585 49621240 52102302 69469736 74431860 86837170 104204604 130255755 148863720 173674340 208409208 260511510 347348680 521023020 1042046040