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10428396 = 22311199397
BaseRepresentation
bin100111110001…
…111111101100
3201121211001220
4213301333230
510132202041
61011303340
7154432326
oct47617754
921554056
1010428396
115983010
1235aab50
132211864
141556616
15daed66
hex9f1fec

10428396 has 48 divisors (see below), whose sum is σ = 26745600. Its totient is φ = 3136320.

The previous prime is 10428389. The next prime is 10428401. The reversal of 10428396 is 69382401.

10428396 = T1 + T2 + ... + T396.

10428396 is a nontrivial binomial coefficient, being equal to C(398, 3).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is the 396-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26070 + ... + 26466.

It is an arithmetic number, because the mean of its divisors is an integer number (557200).

Almost surely, 210428396 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 10428396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13372800).

10428396 is an abundant number, since it is smaller than the sum of its proper divisors (16317204).

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

10428396 is a wasteful number, since it uses less digits than its factorization.

10428396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 10428396 is about 3229.3027111127. The cubic root of 10428396 is about 218.4770575677.

The spelling of 10428396 in words is "ten million, four hundred twenty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 199 397 398 597 794 796 1191 1194 1588 2189 2382 2388 4367 4378 4764 6567 8734 8756 13101 13134 17468 26202 26268 52404 79003 158006 237009 316012 474018 869033 948036 1738066 2607099 3476132 5214198 10428396