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20374200 = 2333527311
BaseRepresentation
bin100110110111…
…0001010111000
31102100010011000
41031232022320
520203433300
62004405000
7335115000
oct115561270
942303130
1020374200
1110556490
1269a6760
1342b4852
1429c5000
151bc6c00
hex136e2b8

20374200 has 384 divisors, whose sum is σ = 89280000. Its totient is φ = 4233600.

The previous prime is 20374199. The next prime is 20374201. The reversal of 20374200 is 247302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20374199) and next prime (20374201).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20374201) 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 95 ways as a sum of consecutive naturals, for example, 1852195 + ... + 1852205.

It is an arithmetic number, because the mean of its divisors is an integer number (232500).

Almost surely, 220374200 is an apocalyptic number.

20374200 is a gapful number since it is divisible by the number (20) 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 20374200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640000).

20374200 is an abundant number, since it is smaller than the sum of its proper divisors (68905800).

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

20374200 is a wasteful number, since it uses less digits than its factorization.

20374200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 20374200 is about 4513.7789046430. The cubic root of 20374200 is about 273.1242038388.

Adding to 20374200 its product of nonzero digits (336), we get a triangular number (20374536 = T6383).

The spelling of 20374200 in words is "twenty million, three hundred seventy-four thousand, two hundred".