Search a number
-
+
1030396080 = 24357976323
BaseRepresentation
bin111101011010101…
…001100010110000
32122210212112200210
4331122221202300
54102240133310
6250124544120
734351136130
oct7532514260
92583775623
101030396080
114896a490a
122490b2040
1313562052c
149abc0ac0
15606d7820
hex3d6a98b0

1030396080 has 160 divisors (see below), whose sum is σ = 3688763904. Its totient is φ = 233054208.

The previous prime is 1030396063. The next prime is 1030396093. The reversal of 1030396080 is 806930301.

1030396080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159799 + ... + 166121.

Almost surely, 21030396080 is an apocalyptic number.

1030396080 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 1030396080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844381952).

1030396080 is an abundant number, since it is smaller than the sum of its proper divisors (2658367824).

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

1030396080 is a wasteful number, since it uses less digits than its factorization.

1030396080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6443 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1030396080 is about 32099.7831768378. The cubic root of 1030396080 is about 1010.0310678938.

The spelling of 1030396080 in words is "one billion, thirty million, three hundred ninety-six thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 97 105 112 120 140 168 194 210 240 280 291 336 388 420 485 560 582 679 776 840 970 1164 1358 1455 1552 1680 1940 2037 2328 2716 2910 3395 3880 4074 4656 5432 5820 6323 6790 7760 8148 10185 10864 11640 12646 13580 16296 18969 20370 23280 25292 27160 31615 32592 37938 40740 44261 50584 54320 63230 75876 81480 88522 94845 101168 126460 132783 151752 162960 177044 189690 221305 252920 265566 303504 354088 379380 442610 505840 531132 613331 663915 708176 758760 885220 1062264 1226662 1327830 1517520 1770440 1839993 2124528 2453324 2655660 3066655 3540880 3679986 4293317 4906648 5311320 6133310 7359972 8586634 9199965 9813296 10622640 12266620 12879951 14719944 17173268 18399930 21466585 24533240 25759902 29439888 34346536 36799860 42933170 49066480 51519804 64399755 68693072 73599720 85866340 103039608 128799510 147199440 171732680 206079216 257599020 343465360 515198040 1030396080