[go: up one dir, main page]

Search a number
-
+
1030009950 = 2325219532273
BaseRepresentation
bin111101011001001…
…011010001011110
32122210010221000200
4331121023101132
54102140304300
6250112404330
734344640314
oct7531132136
92583127020
101030009950
114894607a2
12248b466a6
13135516858
149ab200b4
156065d200
hex3d64b45e

1030009950 has 144 divisors (see below), whose sum is σ = 2969207280. Its totient is φ = 255191040.

The previous prime is 1030009933. The next prime is 1030009951. The reversal of 1030009950 is 599000301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030009951) 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, 452014 + ... + 454286.

It is an arithmetic number, because the mean of its divisors is an integer number (20619495).

Almost surely, 21030009950 is an apocalyptic number.

1030009950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030009950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484603640).

1030009950 is an abundant number, since it is smaller than the sum of its proper divisors (1939197330).

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

1030009950 is a wasteful number, since it uses less digits than its factorization.

1030009950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 1030009950 is about 32093.7680866551. The cubic root of 1030009950 is about 1009.9048859881.

The spelling of 1030009950 in words is "one billion, thirty million, nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 53 57 75 90 95 106 114 150 159 171 190 225 265 285 318 342 450 475 477 530 570 795 855 950 954 1007 1325 1425 1590 1710 2014 2273 2385 2650 2850 3021 3975 4275 4546 4770 5035 6042 6819 7950 8550 9063 10070 11365 11925 13638 15105 18126 20457 22730 23850 25175 30210 34095 40914 43187 45315 50350 56825 68190 75525 86374 90630 102285 113650 120469 129561 151050 170475 204570 215935 226575 240938 259122 340950 361407 388683 431870 453150 511425 602345 647805 722814 777366 1022850 1079675 1084221 1204690 1295610 1807035 1943415 2159350 2168442 2288911 3011725 3239025 3614070 3886830 4577822 5421105 6023450 6478050 6866733 9035175 9717075 10842210 11444555 13733466 18070350 19434150 20600199 22889110 27105525 34333665 41200398 54211050 57222775 68667330 103000995 114445550 171668325 206001990 343336650 515004975 1030009950