Search a number
-
+
10097010 = 23257113147
BaseRepresentation
bin100110100001…
…000101110010
3200222222111100
4212201011302
510041101020
61000225230
7151552230
oct46410562
920888440
1010097010
115777040
12346b216
132126a81
1414ab950
15d46a90
hex9a1172

10097010 has 192 divisors, whose sum is σ = 34504704. Its totient is φ = 1987200.

The previous prime is 10096991. The next prime is 10097027. The reversal of 10097010 is 1079001.

It is a super-2 number, since 2×100970102 = 203899221880200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 214807 + ... + 214853.

It is an arithmetic number, because the mean of its divisors is an integer number (179712).

Almost surely, 210097010 is an apocalyptic number.

10097010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10097010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17252352).

10097010 is an abundant number, since it is smaller than the sum of its proper divisors (24407694).

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

10097010 is a wasteful number, since it uses less digits than its factorization.

10097010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 10097010 is about 3177.5792673040. The cubic root of 10097010 is about 216.1379006247.

Subtracting from 10097010 its reverse (1079001), we obtain a square (9018009 = 30032).

The spelling of 10097010 in words is "ten million, ninety-seven thousand, ten".