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185423040 = 26335111951
BaseRepresentation
bin10110000110101…
…01010011000000
3110220220110121000
423003111103000
5334432014130
630222132000
74411032645
oct1303252300
9426813530
10185423040
1195737090
1252121000
132c55239a
141a8a9dcc
151142a260
hexb0d54c0

185423040 has 224 divisors, whose sum is σ = 713963520. Its totient is φ = 44928000.

The previous prime is 185423039. The next prime is 185423047. The reversal of 185423040 is 40324581.

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

It is a junction number, because it is equal to n+sod(n) for n = 185422995 and 185423013.

It is not an unprimeable number, because it can be changed into a prime (185423047) 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 31 ways as a sum of consecutive naturals, for example, 94065 + ... + 96015.

Almost surely, 2185423040 is an apocalyptic number.

185423040 is a gapful number since it is divisible by the number (10) 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 185423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356981760).

185423040 is an abundant number, since it is smaller than the sum of its proper divisors (528540480).

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

185423040 is a wasteful number, since it uses less digits than its factorization.

185423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 185423040 is about 13617.0128882953. The cubic root of 185423040 is about 570.2359134263.

The spelling of 185423040 in words is "one hundred eighty-five million, four hundred twenty-three thousand, forty".