Search a number
-
+
1131004434 = 237314121187
BaseRepresentation
bin100001101101001…
…1100001000010010
32220211011222102010
41003122130020102
54304014120214
6304121203350
740012244010
oct10332341022
92824158363
101131004434
1153047140a
12276930556
13150417bc1
14aa2cd8b0
156945c659
hex4369c212

1131004434 has 64 divisors (see below), whose sum is σ = 2733760512. Its totient is φ = 305078400.

The previous prime is 1131004429. The next prime is 1131004439. The reversal of 1131004434 is 4344001311.

It is an interprime number because it is at equal distance from previous prime (1131004429) and next prime (1131004439).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1131004434.

It is not an unprimeable number, because it can be changed into a prime (1131004439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42789 + ... + 63975.

It is an arithmetic number, because the mean of its divisors is an integer number (42715008).

Almost surely, 21131004434 is an apocalyptic number.

1131004434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131004434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366880256).

1131004434 is an abundant number, since it is smaller than the sum of its proper divisors (1602756078).

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

1131004434 is a wasteful number, since it uses less digits than its factorization.

1131004434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21271.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1131004434 is about 33630.4093641454. The cubic root of 1131004434 is about 1041.8889591285. Note that the first 3 decimals are identical.

Adding to 1131004434 its reverse (4344001311), we get a palindrome (5475005745).

The spelling of 1131004434 in words is "one billion, one hundred thirty-one million, four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 41 42 62 82 93 123 186 217 246 287 434 574 651 861 1271 1302 1722 2542 3813 7626 8897 17794 21187 26691 42374 53382 63561 127122 148309 296618 444927 656797 868667 889854 1313594 1737334 1970391 2606001 3940782 4597579 5212002 6080669 9195158 12161338 13792737 18242007 26928677 27585474 36484014 53857354 80786031 161572062 188500739 377001478 565502217 1131004434