Search a number
-
+
1030453400 = 235273163433
BaseRepresentation
bin111101011010110…
…111100010011000
32122210222110022202
4331122313202120
54102244002100
6250130105332
734351465214
oct7532674230
92583873282
101030453400
11489733989
1224911b248
13135640652
149abd7944
15606e97d5
hex3d6b7898

1030453400 has 96 divisors (see below), whose sum is σ = 2449166160. Its totient is φ = 403107840.

The previous prime is 1030453399. The next prime is 1030453421. The reversal of 1030453400 is 43540301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2379584 + ... + 2380016.

Almost surely, 21030453400 is an apocalyptic number.

1030453400 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 1030453400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224583080).

1030453400 is an abundant number, since it is smaller than the sum of its proper divisors (1418712760).

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

1030453400 is a wasteful number, since it uses less digits than its factorization.

1030453400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1030453400 is about 32100.6760053429. The cubic root of 1030453400 is about 1010.0497965841.

Adding to 1030453400 its reverse (43540301), we get a palindrome (1073993701).

The spelling of 1030453400 in words is "one billion, thirty million, four hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 163 200 292 326 365 433 584 652 730 815 866 1304 1460 1630 1732 1825 2165 2920 3260 3464 3650 4075 4330 6520 7300 8150 8660 10825 11899 14600 16300 17320 21650 23798 31609 32600 43300 47596 59495 63218 70579 86600 95192 118990 126436 141158 158045 237980 252872 282316 297475 316090 352895 475960 564632 594950 632180 705790 790225 1189900 1264360 1411580 1580450 1764475 2379800 2823160 3160900 3528950 5152267 6321800 7057900 10304534 14115800 20609068 25761335 41218136 51522670 103045340 128806675 206090680 257613350 515226700 1030453400