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12928440 = 2335715391
BaseRepresentation
bin110001010100…
…010110111000
3220022211111010
4301110112320
511302202230
61141033520
7214614150
oct61242670
926284433
1012928440
117330368
1243b58a0
1328a8785
141a07760
1512059b0
hexc545b8

12928440 has 64 divisors (see below), whose sum is σ = 44328960. Its totient is φ = 2954880.

The previous prime is 12928439. The next prime is 12928459. The reversal of 12928440 is 4482921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12928398 and 12928407.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6856 + ... + 8535.

It is an arithmetic number, because the mean of its divisors is an integer number (692640).

Almost surely, 212928440 is an apocalyptic number.

12928440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12928440 is an abundant number, since it is smaller than the sum of its proper divisors (31400520).

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

12928440 is a wasteful number, since it uses less digits than its factorization.

12928440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15412 (or 15408 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 12928440 is about 3595.6139948554. The cubic root of 12928440 is about 234.7012349357.

The spelling of 12928440 in words is "twelve million, nine hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 15391 30782 46173 61564 76955 92346 107737 123128 153910 184692 215474 230865 307820 323211 369384 430948 461730 538685 615640 646422 861896 923460 1077370 1292844 1616055 1846920 2154740 2585688 3232110 4309480 6464220 12928440