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10096992 = 253235059
BaseRepresentation
bin100110100001…
…000101100000
3200222222110200
4212201011200
510041100432
61000225200
7151552203
oct46410540
920888420
1010096992
115777024
12346b200
132126a69
1414ab93a
15d46a7c
hex9a1160

10096992 has 36 divisors (see below), whose sum is σ = 28714140. Its totient is φ = 3365568.

The previous prime is 10096991. The next prime is 10097027. The reversal of 10096992 is 29969001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10096991) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17242 + ... + 17817.

It is an arithmetic number, because the mean of its divisors is an integer number (797615).

Almost surely, 210096992 is an apocalyptic number.

10096992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10096992 is an abundant number, since it is smaller than the sum of its proper divisors (18617148).

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

10096992 is a wasteful number, since it uses less digits than its factorization.

10096992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35075 (or 35064 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 10096992 is about 3177.5764349579. The cubic root of 10096992 is about 216.1377721878.

It can be divided in two parts, 1009 and 6992, that added together give a triangular number (8001 = T126).

The spelling of 10096992 in words is "ten million, ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 35059 70118 105177 140236 210354 280472 315531 420708 560944 631062 841416 1121888 1262124 1682832 2524248 3365664 5048496 10096992