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10674096 = 24317103127
BaseRepresentation
bin101000101101…
…111110110000
3202002022002220
4220231332300
510213032341
61020441040
7156504546
oct50557660
922068086
1010674096
116030674
1236a9180
132299644
1415bbd96
15e0ca66
hexa2dfb0

10674096 has 80 divisors (see below), whose sum is σ = 29712384. Its totient is φ = 3290112.

The previous prime is 10674091. The next prime is 10674101. The reversal of 10674096 is 69047601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10674091) and next prime (10674101).

It is a super-2 number, since 2×106740962 = 227872650834432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10674091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83985 + ... + 84111.

Almost surely, 210674096 is an apocalyptic number.

10674096 is a gapful number since it is divisible by the number (16) 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 10674096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856192).

10674096 is an abundant number, since it is smaller than the sum of its proper divisors (19038288).

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

10674096 is a wasteful number, since it uses less digits than its factorization.

10674096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 10674096 is about 3267.1235054708. The cubic root of 10674096 is about 220.1795778952.

The spelling of 10674096 in words is "ten million, six hundred seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 103 127 136 204 206 254 272 309 381 408 412 508 618 762 816 824 1016 1236 1524 1648 1751 2032 2159 2472 3048 3502 4318 4944 5253 6096 6477 7004 8636 10506 12954 13081 14008 17272 21012 25908 26162 28016 34544 39243 42024 51816 52324 78486 84048 103632 104648 156972 209296 222377 313944 444754 627888 667131 889508 1334262 1779016 2668524 3558032 5337048 10674096