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20374728 = 23311711087
BaseRepresentation
bin100110110111…
…0010011001000
31102100010212120
41031232103020
520203442403
62004411240
7335116353
oct115562310
942303776
1020374728
1110556920
1269a6b20
1342b4b6a
1429c529a
151bc6e53
hex136e4c8

20374728 has 64 divisors (see below), whose sum is σ = 56401920. Its totient is φ = 6081600.

The previous prime is 20374723. The next prime is 20374763. The reversal of 20374728 is 82747302.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (20374723) 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, 18201 + ... + 19287.

It is an arithmetic number, because the mean of its divisors is an integer number (881280).

Almost surely, 220374728 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 20374728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28200960).

20374728 is an abundant number, since it is smaller than the sum of its proper divisors (36027192).

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

20374728 is a wasteful number, since it uses less digits than its factorization.

20374728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 20374728 is about 4513.8373918430. The cubic root of 20374728 is about 273.1265631680.

The spelling of 20374728 in words is "twenty million, three hundred seventy-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 284 426 568 781 852 1087 1562 1704 2174 2343 3124 3261 4348 4686 6248 6522 8696 9372 11957 13044 18744 23914 26088 35871 47828 71742 77177 95656 143484 154354 231531 286968 308708 463062 617416 848947 926124 1697894 1852248 2546841 3395788 5093682 6791576 10187364 20374728