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1013032192 = 281032373
BaseRepresentation
bin111100011000011…
…010010100000000
32121121012100220211
4330120122110000
54033314012232
6244304443504
734050426424
oct7430322400
92547170824
101013032192
1147a915097
12243319594
13131b50c43
1498780b84
155de07a47
hex3c61a500

1013032192 has 54 divisors (see below), whose sum is σ = 2047404282. Its totient is φ = 500253696.

The previous prime is 1013032151. The next prime is 1013032249. The reversal of 1013032192 is 2912303101.

It can be written as a sum of positive squares in only one way, i.e., 879952896 + 133079296 = 29664^2 + 11536^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2715718 + ... + 2716090.

Almost surely, 21013032192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013032192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023702141).

1013032192 is an abundant number, since it is smaller than the sum of its proper divisors (1034372090).

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

1013032192 is an frugal number, since it uses more digits than its factorization.

1013032192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 1013032192 is about 31828.1666452845. The cubic root of 1013032192 is about 1004.3253285594.

Adding to 1013032192 its reverse (2912303101), we get a palindrome (3925335293).

The spelling of 1013032192 in words is "one billion, thirteen million, thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 373 412 746 824 1492 1648 2984 3296 5968 6592 10609 11936 13184 21218 23872 26368 38419 42436 47744 76838 84872 95488 153676 169744 307352 339488 614704 678976 1229408 1357952 2458816 2715904 3957157 4917632 7914314 9835264 15828628 31657256 63314512 126629024 253258048 506516096 1013032192