Search a number
-
+
1004124030 = 235713418971
BaseRepresentation
bin111011110110011…
…011011101111110
32120222102210012220
4323312123131332
54024023432110
6243345510210
733611625210
oct7366333576
92528383186
101004124030
11475890278
12240342366
13130052340
14975025b0
155d248370
hex3bd9b77e

1004124030 has 128 divisors (see below), whose sum is σ = 3038708736. Its totient is φ = 206668800.

The previous prime is 1004124029. The next prime is 1004124067. The reversal of 1004124030 is 304214001.

1004124030 is digitally balanced in base 6, 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107445 + ... + 116415.

It is an arithmetic number, because the mean of its divisors is an integer number (23739912).

Almost surely, 21004124030 is an apocalyptic number.

1004124030 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 1004124030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519354368).

1004124030 is an abundant number, since it is smaller than the sum of its proper divisors (2034584706).

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

1004124030 is a wasteful number, since it uses less digits than its factorization.

1004124030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9042.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1004124030 is about 31687.9161511135. The cubic root of 1004124030 is about 1001.3727912485.

Adding to 1004124030 its reverse (304214001), we get a palindrome (1308338031).

The spelling of 1004124030 in words is "one billion, four million, one hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 41 42 65 70 78 82 91 105 123 130 182 195 205 210 246 273 287 390 410 455 533 546 574 615 861 910 1066 1230 1365 1435 1599 1722 2665 2730 2870 3198 3731 4305 5330 7462 7995 8610 8971 11193 15990 17942 18655 22386 26913 37310 44855 53826 55965 62797 89710 111930 116623 125594 134565 188391 233246 269130 313985 349869 367811 376782 583115 627970 699738 735622 816361 941955 1103433 1166230 1632722 1749345 1839055 1883910 2206866 2449083 2574677 3498690 3678110 4081805 4781543 4898166 5149354 5517165 7724031 8163610 9563086 11034330 12245415 12873385 14344629 15448062 23907715 24490830 25746770 28689258 33470801 38620155 47815430 66941602 71723145 77240310 100412403 143446290 167354005 200824806 334708010 502062015 1004124030