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20376312 = 2331179977
BaseRepresentation
bin100110110111…
…0101011111000
31102100020001020
41031232223320
520204020222
62004422440
7335124105
oct115565370
942306036
1020376312
1110558030
1269a7a20
1342b57b8
1429c5aac
151bc765c
hex136eaf8

20376312 has 64 divisors (see below), whose sum is σ = 56332800. Its totient is φ = 6090240.

The previous prime is 20376311. The next prime is 20376313. The reversal of 20376312 is 21367302.

It is an interprime number because it is at equal distance from previous prime (20376311) and next prime (20376313).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20376311) 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, 20368 + ... + 21344.

It is an arithmetic number, because the mean of its divisors is an integer number (880200).

Almost surely, 220376312 is an apocalyptic number.

20376312 is a gapful number since it is divisible by the number (22) 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 20376312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28166400).

20376312 is an abundant number, since it is smaller than the sum of its proper divisors (35956488).

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

20376312 is a wasteful number, since it uses less digits than its factorization.

20376312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 20376312 is about 4514.0128488962. The cubic root of 20376312 is about 273.1336409110.

The spelling of 20376312 in words is "twenty million, three hundred seventy-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 632 869 948 977 1738 1896 1954 2607 2931 3476 3908 5214 5862 6952 7816 10428 10747 11724 20856 21494 23448 32241 42988 64482 77183 85976 128964 154366 231549 257928 308732 463098 617464 849013 926196 1698026 1852392 2547039 3396052 5094078 6792104 10188156 20376312