Search a number
-
+
1051416832 = 2819231367
BaseRepresentation
bin111110101010110…
…101100100000000
32201021102111202011
4332222311210000
54123130314312
6252155302304
735024616124
oct7652654400
92637374664
101051416832
1149a552034
1225414a994
13139aa044b
149d8d3584
156248ada7
hex3eab5900

1051416832 has 108 divisors (see below), whose sum is σ = 2292681216. Its totient is φ = 480660480.

The previous prime is 1051416811. The next prime is 1051416841. The reversal of 1051416832 is 2386141501.

It is a super-2 number, since 2×10514168322 = 2210954709225832448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 1051416794 and 1051416803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2864713 + ... + 2865079.

Almost surely, 21051416832 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 1051416832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146340608).

1051416832 is an abundant number, since it is smaller than the sum of its proper divisors (1241264384).

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

1051416832 is an equidigital number, since it uses as much as digits as its factorization.

1051416832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 1051416832 is about 32425.5583143914. The cubic root of 1051416832 is about 1016.8533141625.

The spelling of 1051416832 in words is "one billion, fifty-one million, four hundred sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 361 367 496 589 608 722 734 992 1178 1216 1444 1468 1984 2356 2432 2888 2936 3968 4712 4864 5776 5872 6973 7936 9424 11191 11377 11552 11744 13946 18848 22382 22754 23104 23488 27892 37696 44764 45508 46208 46976 55784 75392 89528 91016 92416 93952 111568 132487 150784 179056 182032 216163 223136 264974 358112 364064 432326 446272 529948 716224 728128 864652 892544 1059896 1432448 1456256 1729304 1785088 2119792 2864896 2912512 3458608 4107097 4239584 6917216 8214194 8479168 13834432 16428388 16958336 27668864 32856776 33916672 55337728 65713552 131427104 262854208 525708416 1051416832