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10486432 = 2511313
BaseRepresentation
bin101000000000…
…001010100000
3201201202200101
4220000022200
510141031212
61012432144
7155063455
oct50001240
921652611
1010486432
115a12680
123618654
1322320b8
14156d82c
15dc2157
hexa002a0

10486432 has 48 divisors (see below), whose sum is σ = 23272704. Its totient is φ = 4612800.

The previous prime is 10486417. The next prime is 10486451. The reversal of 10486432 is 23468401.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 10486432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338257 + ... + 338287.

It is an arithmetic number, because the mean of its divisors is an integer number (484848).

Almost surely, 210486432 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 10486432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11636352).

10486432 is an abundant number, since it is smaller than the sum of its proper divisors (12786272).

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

10486432 is an frugal number, since it uses more digits than its factorization.

10486432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 10486432 is about 3238.2760845857. The cubic root of 10486432 is about 218.8815967902.

The spelling of 10486432 in words is "ten million, four hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 961 992 1364 1922 2728 3844 5456 7688 10571 10912 15376 21142 29791 30752 42284 59582 84568 119164 169136 238328 327701 338272 476656 655402 953312 1310804 2621608 5243216 10486432