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236142128 = 24293116417
BaseRepresentation
bin11100001001100…
…11111000110000
3121110100021002202
432010303320300
5440423022003
635233202332
75565114005
oct1604637060
9543307082
10236142128
11111329092
12671003a8
1339bccb91
142350d8ac
1515ae8088
hexe133e30

236142128 has 40 divisors (see below), whose sum is σ = 488599680. Its totient is φ = 110315520.

The previous prime is 236142119. The next prime is 236142133. The reversal of 236142128 is 821241632.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 236142128.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6176 + ... + 22592.

It is an arithmetic number, because the mean of its divisors is an integer number (12214992).

Almost surely, 2236142128 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 236142128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244299840).

236142128 is an abundant number, since it is smaller than the sum of its proper divisors (252457552).

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

236142128 is a wasteful number, since it uses less digits than its factorization.

236142128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16485 (or 16479 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 236142128 is about 15366.9166718636. The cubic root of 236142128 is about 618.0986914858.

The spelling of 236142128 in words is "two hundred thirty-six million, one hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1798 3596 7192 14384 16417 32834 65668 131336 262672 476093 508927 952186 1017854 1904372 2035708 3808744 4071416 7617488 8142832 14758883 29517766 59035532 118071064 236142128