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74206020 = 223571719547
BaseRepresentation
bin1000110110001…
…00101101000100
312011122001112010
410123010231010
5122444043040
611210254220
71560512040
oct433045504
9164561463
1074206020
1138984099
1220a27370
13124b20b5
149bd9020
1567abe80
hex46c4b44

74206020 has 192 divisors, whose sum is σ = 265144320. Its totient is φ = 15095808.

The previous prime is 74206019. The next prime is 74206021. The reversal of 74206020 is 2060247.

74206020 = T135 + T136 + ... + T764.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (74206019) and next prime (74206021).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (74206021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135387 + ... + 135933.

It is an arithmetic number, because the mean of its divisors is an integer number (1380960).

Almost surely, 274206020 is an apocalyptic number.

74206020 is a gapful number since it is divisible by the number (70) 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 74206020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132572160).

74206020 is an abundant number, since it is smaller than the sum of its proper divisors (190938300).

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

74206020 is a wasteful number, since it uses less digits than its factorization.

74206020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 74206020 is about 8614.2916133597. The cubic root of 74206020 is about 420.2228975585. Note that the first 3 decimals are identical.

Adding to 74206020 its reverse (2060247), we get a palindrome (76266267).

The spelling of 74206020 in words is "seventy-four million, two hundred six thousand, twenty".