[go: up one dir, main page]

Search a number
-
+
1124102430 = 2325116591723
BaseRepresentation
bin100001100000000…
…0111000100011110
32220100012022122100
41003000013010132
54300232234210
6303313225530
736566466363
oct10300070436
92810168570
101124102430
11527587880
122745622a6
1314bb6c489
14a941446a
1568a475c0
hex4300711e

1124102430 has 96 divisors (see below), whose sum is σ = 3195054720. Its totient is φ = 271938240.

The previous prime is 1124102429. The next prime is 1124102443. The reversal of 1124102430 is 342014211.

1124102430 is a `hidden beast` number, since 1 + 12 + 410 + 243 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651549 + ... + 653271.

It is an arithmetic number, because the mean of its divisors is an integer number (33281820).

Almost surely, 21124102430 is an apocalyptic number.

1124102430 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 1124102430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597527360).

1124102430 is an abundant number, since it is smaller than the sum of its proper divisors (2070952290).

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

1124102430 is a wasteful number, since it uses less digits than its factorization.

1124102430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1124102430 is about 33527.6368090565. The cubic root of 1124102430 is about 1039.7652422541.

Adding to 1124102430 its reverse (342014211), we get a palindrome (1466116641).

The spelling of 1124102430 in words is "one billion, one hundred twenty-four million, one hundred two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 659 990 1318 1723 1977 3295 3446 3954 5169 5931 6590 7249 8615 9885 10338 11862 14498 15507 17230 18953 19770 21747 25845 29655 31014 36245 37906 43494 51690 56859 59310 65241 72490 77535 94765 108735 113718 130482 155070 170577 189530 217470 284295 326205 341154 568590 652410 852885 1135457 1705770 2270914 3406371 5677285 6812742 10219113 11354570 12490027 17031855 20438226 24980054 34063710 37470081 51095565 62450135 74940162 102191130 112410243 124900270 187350405 224820486 374700810 562051215 1124102430