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20337372 = 223311171953
BaseRepresentation
bin100110110010…
…1001011011100
31102021020122000
41031211023130
520201243442
62003522300
7334602426
oct115451334
942236560
1020337372
1110530850
126989390
1342a0b63
1429b5816
151bbad4c
hex13652dc

20337372 has 192 divisors, whose sum is σ = 65318400. Its totient is φ = 5391360.

The previous prime is 20337371. The next prime is 20337397. The reversal of 20337372 is 27373302.

20337372 = 933 + 943 + ... + 1113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20337371) 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 63 ways as a sum of consecutive naturals, for example, 383698 + ... + 383750.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 220337372 is an apocalyptic number.

20337372 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 20337372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

20337372 is an abundant number, since it is smaller than the sum of its proper divisors (44981028).

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

20337372 is a wasteful number, since it uses less digits than its factorization.

20337372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 27.

The square root of 20337372 is about 4509.6975508342. The cubic root of 20337372 is about 272.9595399525.

The spelling of 20337372 in words is "twenty million, three hundred thirty-seven thousand, three hundred seventy-two".