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10097082 = 233172647
BaseRepresentation
bin100110100001…
…000110111010
3200222222121000
4212201012322
510041101312
61000225430
7151552362
oct46410672
920888530
1010097082
1157770a6
12346b276
132126b08
1414ab9a2
15d46adc
hex9a11ba

10097082 has 48 divisors (see below), whose sum is σ = 23872320. Its totient is φ = 3162816.

The previous prime is 10097081. The next prime is 10097089. The reversal of 10097082 is 28079001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10097081) 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 23 ways as a sum of consecutive naturals, for example, 15283 + ... + 15929.

It is an arithmetic number, because the mean of its divisors is an integer number (497340).

Almost surely, 210097082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10097082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11936160).

10097082 is an abundant number, since it is smaller than the sum of its proper divisors (13775238).

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

10097082 is a wasteful number, since it uses less digits than its factorization.

10097082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 10097082 is about 3177.5905966628. The cubic root of 10097082 is about 216.1384143705.

The spelling of 10097082 in words is "ten million, ninety-seven thousand, eighty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 289 306 459 578 647 867 918 1294 1734 1941 2601 3882 5202 5823 7803 10999 11646 15606 17469 21998 32997 34938 65994 98991 186983 197982 296973 373966 560949 593946 1121898 1682847 3365694 5048541 10097082