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10466988 = 223732543
BaseRepresentation
bin100111111011…
…011010101100
3201200210000020
4213323122230
510134420423
61012202140
7154653000
oct47733254
921623006
1010466988
1159aa004
123609350
1322262ac
141566700
15dbb4e3
hex9fb6ac

10466988 has 48 divisors (see below), whose sum is σ = 28492800. Its totient is φ = 2989392.

The previous prime is 10466987. The next prime is 10467011. The reversal of 10466988 is 88966401.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10466983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2845 + ... + 5387.

It is an arithmetic number, because the mean of its divisors is an integer number (593600).

Almost surely, 210466988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10466988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14246400).

10466988 is an abundant number, since it is smaller than the sum of its proper divisors (18025812).

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

10466988 is a wasteful number, since it uses less digits than its factorization.

10466988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 10466988 is about 3235.2724769330. The cubic root of 10466988 is about 218.7462292683.

The spelling of 10466988 in words is "ten million, four hundred sixty-six thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 2543 4116 5086 7629 10172 15258 17801 30516 35602 53403 71204 106806 124607 213612 249214 373821 498428 747642 872249 1495284 1744498 2616747 3488996 5233494 10466988