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1030968 = 23343743
BaseRepresentation
bin11111011101100111000
31221101020000
43323230320
5230442333
634033000
711522511
oct3735470
91841200
101030968
11644644
12418760
132a1353
141cba08
15155713
hexfbb38

1030968 has 80 divisors (see below), whose sum is σ = 3034680. Its totient is φ = 326592.

The previous prime is 1030957. The next prime is 1030987. The reversal of 1030968 is 8690301.

1030968 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 23955 + ... + 23997.

21030968 is an apocalyptic number.

1030968 is a gapful number since it is divisible by the number (18) 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 1030968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517340).

1030968 is an abundant number, since it is smaller than the sum of its proper divisors (2003712).

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

1030968 is a wasteful number, since it uses less digits than its factorization.

1030968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1030968 is about 1015.3659438843. The cubic root of 1030968 is about 101.0217905472.

The spelling of 1030968 in words is "one million, thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 43 54 72 74 81 86 108 111 129 148 162 172 216 222 258 296 324 333 344 387 444 516 648 666 774 888 999 1032 1161 1332 1548 1591 1998 2322 2664 2997 3096 3182 3483 3996 4644 4773 5994 6364 6966 7992 9288 9546 11988 12728 13932 14319 19092 23976 27864 28638 38184 42957 57276 85914 114552 128871 171828 257742 343656 515484 1030968