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10428376 = 237237719
BaseRepresentation
bin100111110001…
…111111011000
3201121211001011
4213301333120
510132202001
61011303304
7154432300
oct47617730
921554034
1010428376
115982aa2
1235aab34
13221184a
141556600
15daed51
hex9f1fd8

10428376 has 48 divisors (see below), whose sum is σ = 23392800. Its totient is φ = 4342464.

The previous prime is 10428367. The next prime is 10428389. The reversal of 10428376 is 67382401.

10428376 = T5 + T6 + ... + T396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14145 + ... + 14863.

It is an arithmetic number, because the mean of its divisors is an integer number (487350).

Almost surely, 210428376 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 10428376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11696400).

10428376 is an abundant number, since it is smaller than the sum of its proper divisors (12964424).

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

10428376 is a wasteful number, since it uses less digits than its factorization.

10428376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 10428376 is about 3229.2996144675. The cubic root of 10428376 is about 218.4769178996.

The spelling of 10428376 in words is "ten million, four hundred twenty-eight thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 392 518 719 1036 1438 1813 2072 2876 3626 5033 5752 7252 10066 14504 20132 26603 35231 40264 53206 70462 106412 140924 186221 212824 281848 372442 744884 1303547 1489768 2607094 5214188 10428376