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10406116 = 2271312837
BaseRepresentation
bin100111101100…
…100011100100
3201120200111201
4213230203210
510130443431
61011012244
7154310350
oct47544344
921520451
1010406116
1159682a6
12359a084
132204686
14154c460
15da8461
hex9ec8e4

10406116 has 24 divisors (see below), whose sum is σ = 20978496. Its totient is φ = 4424160.

The previous prime is 10406113. The next prime is 10406119. The reversal of 10406116 is 61160401.

It is a happy number.

10406116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10406113) and next prime (10406119).

It is a junction number, because it is equal to n+sod(n) for n = 10406093 and 10406102.

It is not an unprimeable number, because it can be changed into a prime (10406113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2250 + ... + 5086.

It is an arithmetic number, because the mean of its divisors is an integer number (874104).

Almost surely, 210406116 is an apocalyptic number.

It is an amenable number.

10406116 is an abundant number, since it is smaller than the sum of its proper divisors (10572380).

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

10406116 is a wasteful number, since it uses less digits than its factorization.

10406116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10406116 is about 3225.8512054960. The cubic root of 10406116 is about 218.3213564253.

Adding to 10406116 its reverse (61160401), we get a palindrome (71566517).

The spelling of 10406116 in words is "ten million, four hundred six thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 131 262 524 917 1834 2837 3668 5674 11348 19859 39718 79436 371647 743294 1486588 2601529 5203058 10406116