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1194925056 = 21031329921
BaseRepresentation
bin100011100111001…
…0001110000000000
310002021110111000120
41013032101300000
54421400100211
6314323220240
741416460343
oct10716216000
93067414016
101194925056
1156355a976
12294217680
13160738560
14b49ac45a
156ed86d06
hex47391c00

1194925056 has 88 divisors (see below), whose sum is σ = 3430018704. Its totient is φ = 367656960.

The previous prime is 1194925051. The next prime is 1194925057. The reversal of 1194925056 is 6505294911.

It is a junction number, because it is equal to n+sod(n) for n = 1194924999 and 1194925017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1194925051) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 24976 + ... + 54896.

Almost surely, 21194925056 is an apocalyptic number.

1194925056 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 1194925056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715009352).

1194925056 is an abundant number, since it is smaller than the sum of its proper divisors (2235093648).

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

1194925056 is a wasteful number, since it uses less digits than its factorization.

1194925056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29957 (or 29939 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 1194925056 is about 34567.6880337693. The cubic root of 1194925056 is about 1061.1584155450.

The spelling of 1194925056 in words is "one billion, one hundred ninety-four million, nine hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 3072 3328 4992 6656 9984 13312 19968 29921 39936 59842 89763 119684 179526 239368 359052 388973 478736 718104 777946 957472 1166919 1436208 1555892 1914944 2333838 2872416 3111784 3829888 4667676 5744832 6223568 7659776 9335352 11489664 12447136 15319552 18670704 22979328 24894272 30639104 37341408 45958656 49788544 74682816 91917312 99577088 149365632 199154176 298731264 398308352 597462528 1194925056