Search a number
-
+
10496164 = 227412223
BaseRepresentation
bin101000000010…
…100010100100
3201202021000211
4220002202210
510141334124
61012545204
7155134030
oct50024244
921667024
1010496164
115a19a18
123622204
132236663
1415731c0
15dc4e94
hexa028a4

10496164 has 36 divisors (see below), whose sum is σ = 21613312. Its totient is φ = 4368960.

The previous prime is 10496149. The next prime is 10496179. The reversal of 10496164 is 46169401.

It is an interprime number because it is at equal distance from previous prime (10496149) and next prime (10496179).

It is a super-2 number, since 2×104961642 = 220338917429792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46957 + ... + 47179.

Almost surely, 210496164 is an apocalyptic number.

10496164 is a gapful number since it is divisible by the number (14) 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 10496164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10806656).

10496164 is an abundant number, since it is smaller than the sum of its proper divisors (11117148).

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

10496164 is a wasteful number, since it uses less digits than its factorization.

10496164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 10496164 is about 3239.7783874827. The cubic root of 10496164 is about 218.9492873409.

It can be divided in two parts, 10496 and 164, that multiplied together give a square (1721344 = 13122).

The spelling of 10496164 in words is "ten million, four hundred ninety-six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 41 82 164 223 287 446 574 892 1148 1561 1681 3122 3362 6244 6724 9143 11767 18286 23534 36572 47068 64001 128002 256004 374863 749726 1499452 2624041 5248082 10496164