Search a number
-
+
1030432746 = 237314197199
BaseRepresentation
bin111101011010110…
…010011111101010
32122210221101222210
4331122302133222
54102242321441
6250125425550
734351351050
oct7532623752
92583841883
101030432746
1148971a412
1224910b2b6
13135634125
149abd01d0
15606e3616
hex3d6b27ea

1030432746 has 128 divisors (see below), whose sum is σ = 2528870400. Its totient is φ = 273715200.

The previous prime is 1030432709. The next prime is 1030432763. The reversal of 1030432746 is 6472340301.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5177955 + ... + 5178153.

It is an arithmetic number, because the mean of its divisors is an integer number (19756800).

Almost surely, 21030432746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030432746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264435200).

1030432746 is an abundant number, since it is smaller than the sum of its proper divisors (1498437654).

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

1030432746 is a wasteful number, since it uses less digits than its factorization.

1030432746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380.

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 1030432746 is about 32100.3542971102. The cubic root of 1030432746 is about 1010.0430481930.

The spelling of 1030432746 in words is "one billion, thirty million, four hundred thirty-two thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 14 21 31 41 42 62 82 93 97 123 186 194 199 217 246 287 291 398 434 574 582 597 651 679 861 1194 1271 1302 1358 1393 1722 2037 2542 2786 3007 3813 3977 4074 4179 6014 6169 7626 7954 8159 8358 8897 9021 11931 12338 16318 17794 18042 18507 19303 21049 23862 24477 26691 27839 37014 38606 42098 43183 48954 53382 55678 57113 57909 63147 83517 86366 114226 115818 123287 126294 129549 135121 167034 171339 246574 252929 259098 270242 342678 369861 405363 505858 598393 739722 758787 791423 810726 863009 1196786 1517574 1582846 1726018 1770503 1795179 2374269 2589027 3541006 3590358 4188751 4748538 5178054 5311509 5539961 8377502 10623018 11079922 12566253 16619883 24534113 25132506 33239766 49068226 73602339 147204678 171738791 343477582 515216373 1030432746