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1132114420 = 225315930949
BaseRepresentation
bin100001101111010…
…1011000111110100
32220220021101000201
41003132223013310
54304310130140
6304201050244
740024546063
oct10336530764
92826241021
101132114420
1153105a358
12277186984
131507161b8
14aa4dc1da
15695cb49a
hex437ab1f4

1132114420 has 48 divisors (see below), whose sum is σ = 2495808000. Its totient is φ = 430796160.

The previous prime is 1132114393. The next prime is 1132114421. The reversal of 1132114420 is 244112311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132114421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21106 + ... + 52054.

It is an arithmetic number, because the mean of its divisors is an integer number (51996000).

Almost surely, 21132114420 is an apocalyptic number.

1132114420 is a gapful number since it is divisible by the number (10) 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 1132114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247904000).

1132114420 is an abundant number, since it is smaller than the sum of its proper divisors (1363693580).

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

1132114420 is a wasteful number, since it uses less digits than its factorization.

1132114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31048 (or 31046 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1132114420 is about 33646.9080303079. The cubic root of 1132114420 is about 1042.2296898983.

Adding to 1132114420 its reverse (244112311), we get a palindrome (1376226731).

The spelling of 1132114420 in words is "one billion, one hundred thirty-two million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 59 62 118 124 155 236 295 310 590 620 1180 1829 3658 7316 9145 18290 30949 36580 61898 123796 154745 309490 618980 959419 1825991 1918838 3651982 3837676 4797095 7303964 9129955 9594190 18259910 19188380 36519820 56605721 113211442 226422884 283028605 566057210 1132114420