Search a number
-
+
1146534496 = 25417311971
BaseRepresentation
bin100010001010110…
…1011101001100000
32221220101222122121
41010111223221200
54322003100441
6305434114024
740261245112
oct10425535140
92856358577
101146534496
11539209378
1227bb7b914
131536c48a3
14ac3b33b2
156a9c8dd1
hex4456ba60

1146534496 has 48 divisors (see below), whose sum is σ = 2344165488. Its totient is φ = 551577600.

The previous prime is 1146534481. The next prime is 1146534511. The reversal of 1146534496 is 6944356411.

It is an interprime number because it is at equal distance from previous prime (1146534481) and next prime (1146534511).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 89791 + ... + 101761.

It is an arithmetic number, because the mean of its divisors is an integer number (48836781).

Almost surely, 21146534496 is an apocalyptic number.

1146534496 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 1146534496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172082744).

1146534496 is an abundant number, since it is smaller than the sum of its proper divisors (1197630992).

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

1146534496 is a wasteful number, since it uses less digits than its factorization.

1146534496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12095 (or 12087 counting only the distinct ones).

The product of its digits is 311040, while the sum is 43.

The square root of 1146534496 is about 33860.5152943661. The cubic root of 1146534496 is about 1046.6360964922.

The spelling of 1146534496 in words is "one billion, one hundred forty-six million, five hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 73 82 146 164 292 328 584 656 1168 1312 2336 2993 5986 11971 11972 23942 23944 47884 47888 95768 95776 191536 383072 490811 873883 981622 1747766 1963244 3495532 3926488 6991064 7852976 13982128 15705952 27964256 35829203 71658406 143316812 286633624 573267248 1146534496