[go: up one dir, main page]

Search a number
-
+
1114316052 = 2232311335729
BaseRepresentation
bin100001001101011…
…0001110100010100
32212122210010020220
41002122301310110
54240231103202
6302323354340
736420346563
oct10232616424
92778703226
101114316052
11522003163
122712229b0
13149b23c15
14a7dc7bda
1567c62abc
hex426b1d14

1114316052 has 48 divisors (see below), whose sum is σ = 2737203840. Its totient is φ = 352135168.

The previous prime is 1114316041. The next prime is 1114316053. The reversal of 1114316052 is 2506134111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114316053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13324 + ... + 49052.

It is an arithmetic number, because the mean of its divisors is an integer number (57025080).

Almost surely, 21114316052 is an apocalyptic number.

1114316052 is a gapful number since it is divisible by the number (12) 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 1114316052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368601920).

1114316052 is an abundant number, since it is smaller than the sum of its proper divisors (1622887788).

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

1114316052 is a wasteful number, since it uses less digits than its factorization.

1114316052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35872 (or 35870 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1114316052 is about 33381.3728297684. The cubic root of 1114316052 is about 1036.7390623419.

The spelling of 1114316052 in words is "one billion, one hundred fourteen million, three hundred sixteen thousand, fifty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 113 138 226 276 339 452 678 1356 2599 5198 7797 10396 15594 31188 35729 71458 107187 142916 214374 428748 821767 1643534 2465301 3287068 4037377 4930602 8074754 9861204 12112131 16149508 24224262 48448524 92859671 185719342 278579013 371438684 557158026 1114316052