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10393392 = 2431747271
BaseRepresentation
bin100111101001…
…011100110000
3201120001001110
4213221130300
510130042032
61010433320
7154225302
oct47513460
921501043
1010393392
115959789
123592840
1321cb949
141547972
15da47cc
hex9e9730

10393392 has 80 divisors (see below), whose sum is σ = 29140992. Its totient is φ = 3179520.

The previous prime is 10393391. The next prime is 10393403. The reversal of 10393392 is 29339301.

10393392 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10393391) 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, 38217 + ... + 38487.

Almost surely, 210393392 is an apocalyptic number.

10393392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10393392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14570496).

10393392 is an abundant number, since it is smaller than the sum of its proper divisors (18747600).

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

10393392 is a wasteful number, since it uses less digits than its factorization.

10393392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 10393392 is about 3223.8784096178. The cubic root of 10393392 is about 218.2323365343.

The spelling of 10393392 in words is "ten million, three hundred ninety-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 47 48 51 68 94 102 136 141 188 204 271 272 282 376 408 542 564 752 799 813 816 1084 1128 1598 1626 2168 2256 2397 3196 3252 4336 4607 4794 6392 6504 9214 9588 12737 12784 13008 13821 18428 19176 25474 27642 36856 38211 38352 50948 55284 73712 76422 101896 110568 152844 203792 216529 221136 305688 433058 611376 649587 866116 1299174 1732232 2598348 3464464 5196696 10393392