Search a number
-
+
1229115456 = 26324314951
BaseRepresentation
bin100100101000010…
…1101000001000000
310011122210112102200
41021100231001000
510004123143311
6321544113200
742313210662
oct11120550100
93148715380
101229115456
115808926a8
122a3765800
1316784996a
14b934c532
1572d8c556
hex4942d040

1229115456 has 84 divisors (see below), whose sum is σ = 3531924864. Its totient is φ = 408672000.

The previous prime is 1229115443. The next prime is 1229115457. The reversal of 1229115456 is 6545119221.

1229115456 is a `hidden beast` number, since 1 + 22 + 91 + 1 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (21600) is a multiple of the sum of its prime factors (5400).

It is a self number, because there is not a number n which added to its sum of digits gives 1229115456.

It is not an unprimeable number, because it can be changed into a prime (1229115457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245781 + ... + 250731.

Almost surely, 21229115456 is an apocalyptic number.

1229115456 is a gapful number since it is divisible by the number (16) 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 1229115456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765962432).

1229115456 is an abundant number, since it is smaller than the sum of its proper divisors (2302809408).

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

1229115456 is a wasteful number, since it uses less digits than its factorization.

1229115456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5400 (or 5387 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 1229115456 is about 35058.7429323985. The cubic root of 1229115456 is about 1071.1843688174.

The spelling of 1229115456 in words is "one billion, two hundred twenty-nine million, one hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 431 576 862 1293 1724 2586 3448 3879 4951 5172 6896 7758 9902 10344 13792 14853 15516 19804 20688 27584 29706 31032 39608 41376 44559 59412 62064 79216 82752 89118 118824 124128 158432 178236 237648 248256 316864 356472 475296 712944 950592 1425888 2133881 2851776 4267762 6401643 8535524 12803286 17071048 19204929 25606572 34142096 38409858 51213144 68284192 76819716 102426288 136568384 153639432 204852576 307278864 409705152 614557728 1229115456