Search a number
-
+
983197056 = 27341197317
BaseRepresentation
bin111010100110100…
…110010110000000
32112112001120210210
4322212212112000
54003144301211
6241321154120
733236015502
oct7246462600
92475046723
10983197056
11464a97556
1223532b940
1312890600a
1494815d72
155b4b29a6
hex3a9a6580

983197056 has 128 divisors (see below), whose sum is σ = 2697377760. Its totient is φ = 317112320.

The previous prime is 983197003. The next prime is 983197081. The reversal of 983197056 is 650791389.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 983196996 and 983197014.

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 15 ways as a sum of consecutive naturals, for example, 3101410 + ... + 3101726.

Almost surely, 2983197056 is an apocalyptic number.

983197056 is a gapful number since it is divisible by the number (96) 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 983197056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348688880).

983197056 is an abundant number, since it is smaller than the sum of its proper divisors (1714180704).

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

983197056 is a wasteful number, since it uses less digits than its factorization.

983197056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 983197056 is about 31355.9732108573. The cubic root of 983197056 is about 994.3673515061.

The spelling of 983197056 in words is "nine hundred eighty-three million, one hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 197 246 317 328 384 394 492 591 634 656 788 951 984 1182 1268 1312 1576 1902 1968 2364 2536 2624 3152 3804 3936 4728 5072 5248 6304 7608 7872 8077 9456 10144 12608 12997 15216 15744 16154 18912 20288 24231 25216 25994 30432 32308 37824 38991 40576 48462 51988 60864 62449 64616 75648 77982 96924 103976 121728 124898 129232 155964 187347 193848 207952 249796 258464 311928 374694 387696 415904 499592 516928 623856 749388 775392 831808 999184 1033856 1247712 1498776 1550784 1663616 1998368 2495424 2560409 2997552 3101568 3996736 4990848 5120818 5995104 7681227 7993472 10241636 11990208 15362454 20483272 23980416 30724908 40966544 61449816 81933088 122899632 163866176 245799264 327732352 491598528 983197056