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10648092 = 2237313199
BaseRepresentation
bin101000100111…
…101000011100
3202000222102210
4220213220130
510211214332
61020120420
7156336000
oct50475034
922028383
1010648092
116013084
123696110
13228a860
1415b2700
15e04ecc
hexa27a1c

10648092 has 96 divisors (see below), whose sum is σ = 31360000. Its totient is φ = 2794176.

The previous prime is 10648091. The next prime is 10648093. The reversal of 10648092 is 29084601.

It is an interprime number because it is at equal distance from previous prime (10648091) and next prime (10648093).

It is a super-2 number, since 2×106480922 = 226763726480928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10648091) 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 31 ways as a sum of consecutive naturals, for example, 53409 + ... + 53607.

Almost surely, 210648092 is an apocalyptic number.

10648092 is a gapful number since it is divisible by the number (12) 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 10648092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15680000).

10648092 is an abundant number, since it is smaller than the sum of its proper divisors (20711908).

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

10648092 is a wasteful number, since it uses less digits than its factorization.

10648092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10648092 is about 3263.1414311979. The cubic root of 10648092 is about 220.0006336070. Note that the first 3 decimals are identical.

The spelling of 10648092 in words is "ten million, six hundred forty-eight thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 199 273 294 343 364 398 546 588 597 637 686 796 1029 1092 1194 1274 1372 1393 1911 2058 2388 2548 2587 2786 3822 4116 4179 4459 5174 5572 7644 7761 8358 8918 9751 10348 13377 15522 16716 17836 18109 19502 26754 29253 31044 36218 39004 53508 54327 58506 68257 72436 108654 117012 126763 136514 204771 217308 253526 273028 380289 409542 507052 760578 819084 887341 1521156 1774682 2662023 3549364 5324046 10648092