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1030674040 = 2351153193229
BaseRepresentation
bin111101011011101…
…101011001111000
32122211101122222121
4331123231121320
54102323032130
6250134531024
734353404404
oct7533553170
92584348877
101030674040
11489874730
12249206a74
131356b9bc6
149ac54104
156073ed7a
hex3d6ed678

1030674040 has 128 divisors (see below), whose sum is σ = 2602238400. Its totient is φ = 364216320.

The previous prime is 1030673989. The next prime is 1030674041. The reversal of 1030674040 is 404760301.

1030674040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1030673996 and 1030674014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030674041) by changing a digit.

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, 4500646 + ... + 4500874.

Almost surely, 21030674040 is an apocalyptic number.

1030674040 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 1030674040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301119200).

1030674040 is an abundant number, since it is smaller than the sum of its proper divisors (1571564360).

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

1030674040 is a wasteful number, since it uses less digits than its factorization.

1030674040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 1030674040 is about 32104.1125091475. The cubic root of 1030674040 is about 1010.1218818374.

The spelling of 1030674040 in words is "one billion, thirty million, six hundred seventy-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 193 212 220 229 265 386 424 440 458 530 583 772 916 965 1060 1145 1166 1544 1832 1930 2120 2123 2290 2332 2519 2915 3860 4246 4580 4664 5038 5830 7720 8492 9160 10076 10229 10615 11660 12137 12595 16984 20152 20458 21230 23320 24274 25190 40916 42460 44197 48548 50380 51145 60685 81832 84920 88394 97096 100760 102290 112519 121370 133507 176788 204580 220985 225038 242740 267014 353576 409160 441970 450076 485480 486167 534028 562595 667535 883940 900152 972334 1068056 1125190 1335070 1767880 1944668 2250380 2342441 2430835 2670140 3889336 4500760 4684882 4861670 5340280 9369764 9723340 11712205 18739528 19446680 23424410 25766851 46848820 51533702 93697640 103067404 128834255 206134808 257668510 515337020 1030674040