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12928398 = 2371719953
BaseRepresentation
bin110001010100…
…010110001110
3220022211102120
4301110112032
511302202043
61141033410
7214614060
oct61242616
926284376
1012928398
11733032a
1243b5866
1328a8752
141a07730
151205983
hexc5458e

12928398 has 64 divisors (see below), whose sum is σ = 32970240. Its totient is φ = 3290112.

The previous prime is 12928397. The next prime is 12928427. The reversal of 12928398 is 89382921.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12928393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13090 + ... + 14042.

It is an arithmetic number, because the mean of its divisors is an integer number (515160).

Almost surely, 212928398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12928398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16485120).

12928398 is an abundant number, since it is smaller than the sum of its proper divisors (20041842).

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

12928398 is a wasteful number, since it uses less digits than its factorization.

12928398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001.

The product of its digits is 62208, while the sum is 42.

The square root of 12928398 is about 3595.6081544017. The cubic root of 12928398 is about 234.7009807812.

The spelling of 12928398 in words is "twelve million, nine hundred twenty-eight thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 102 114 119 133 238 266 323 357 399 646 714 798 953 969 1906 1938 2261 2859 4522 5718 6671 6783 13342 13566 16201 18107 20013 32402 36214 40026 48603 54321 97206 108642 113407 126749 226814 253498 307819 340221 380247 615638 680442 760494 923457 1846914 2154733 4309466 6464199 12928398