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10672494 = 2372311171
BaseRepresentation
bin101000101101…
…100101101110
3202002012220120
4220231211232
510213004434
61020425410
7156500100
oct50554556
922065816
1010672494
11602a448
1236a8266
1322989b1
1415bb570
15e0c349
hexa2d96e

10672494 has 48 divisors (see below), whose sum is σ = 25652736. Its totient is φ = 2948400.

The previous prime is 10672489. The next prime is 10672523. The reversal of 10672494 is 49427601.

It is a happy number.

It is a super-2 number, since 2×106724942 = 227804256360072, 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 a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8529 + ... + 9699.

It is an arithmetic number, because the mean of its divisors is an integer number (534432).

Almost surely, 210672494 is an apocalyptic number.

10672494 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10672494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12826368).

10672494 is an abundant number, since it is smaller than the sum of its proper divisors (14980242).

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

10672494 is a wasteful number, since it uses less digits than its factorization.

10672494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 10672494 is about 3266.8783264762. The cubic root of 10672494 is about 220.1685622760.

The spelling of 10672494 in words is "ten million, six hundred seventy-two thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1171 1302 1519 2342 3038 3513 4557 7026 8197 9114 16394 24591 36301 49182 57379 72602 108903 114758 172137 217806 254107 344274 508214 762321 1524642 1778749 3557498 5336247 10672494