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12973428 = 223213191459
BaseRepresentation
bin110001011111…
…010101110100
3220102010012100
4301133111310
511310122203
61142022100
7215162256
oct61372564
926363170
1012973428
117361146
124417930
1328c30b0
141a19cd6
151213ea3
hexc5f574

12973428 has 72 divisors (see below), whose sum is σ = 37200800. Its totient is φ = 3779136.

The previous prime is 12973427. The next prime is 12973439. The reversal of 12973428 is 82437921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12973392 and 12973401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12973423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8163 + ... + 9621.

Almost surely, 212973428 is an apocalyptic number.

12973428 is a gapful number since it is divisible by the number (18) 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 12973428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18600400).

12973428 is an abundant number, since it is smaller than the sum of its proper divisors (24227372).

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

12973428 is a wasteful number, since it uses less digits than its factorization.

12973428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1496 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 12973428 is about 3601.8645171633. The cubic root of 12973428 is about 234.9731552254.

The spelling of 12973428 in words is "twelve million, nine hundred seventy-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1459 1482 2223 2918 2964 4377 4446 5836 8754 8892 13131 17508 18967 26262 27721 37934 52524 55442 56901 75868 83163 110884 113802 166326 170703 227604 249489 332652 341406 360373 498978 682812 720746 997956 1081119 1441492 2162238 3243357 4324476 6486714 12973428