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20373312 = 263293659
BaseRepresentation
bin100110110110…
…1111101000000
31102100001221010
41031231331000
520203421222
62004400520
7335112261
oct115557500
942301833
1020373312
1110555853
1269a6140
1342b431b
1429c4968
151bc680c
hex136df40

20373312 has 56 divisors (see below), whose sum is σ = 55778400. Its totient is φ = 6555136.

The previous prime is 20373289. The next prime is 20373317. The reversal of 20373312 is 21337302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20373317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3739 + ... + 7397.

Almost surely, 220373312 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 20373312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27889200).

20373312 is an abundant number, since it is smaller than the sum of its proper divisors (35405088).

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

20373312 is a wasteful number, since it uses less digits than its factorization.

20373312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 20373312 is about 4513.6805380975. The cubic root of 20373312 is about 273.1202357841.

The spelling of 20373312 in words is "twenty million, three hundred seventy-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 3659 5568 7318 10977 14636 21954 29272 43908 58544 87816 106111 117088 175632 212222 234176 318333 351264 424444 636666 702528 848888 1273332 1697776 2546664 3395552 5093328 6791104 10186656 20373312