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180196152 = 233191512617
BaseRepresentation
bin10101011110110…
…01001100111000
3110120001220122120
422233121030320
5332112234102
625514121240
74315433133
oct1257311470
9416056576
10180196152
1192797044
1250420220
132b442256
1419d0921a
1510c466bc
hexabd9338

180196152 has 64 divisors (see below), whose sum is σ = 477523200. Its totient is φ = 56505600.

The previous prime is 180196151. The next prime is 180196157. The reversal of 180196152 is 251691081.

180196152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1801961523 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180196151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67548 + ... + 70164.

It is an arithmetic number, because the mean of its divisors is an integer number (7461300).

Almost surely, 2180196152 is an apocalyptic number.

180196152 is a gapful number since it is divisible by the number (12) 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 180196152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238761600).

180196152 is an abundant number, since it is smaller than the sum of its proper divisors (297327048).

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

180196152 is a wasteful number, since it uses less digits than its factorization.

180196152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 180196152 is about 13423.7160279857. The cubic root of 180196152 is about 564.8266385395.

The spelling of 180196152 in words is "one hundred eighty million, one hundred ninety-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 151 152 228 302 453 456 604 906 1208 1812 2617 2869 3624 5234 5738 7851 8607 10468 11476 15702 17214 20936 22952 31404 34428 49723 62808 68856 99446 149169 198892 298338 395167 397784 596676 790334 1185501 1193352 1580668 2371002 3161336 4742004 7508173 9484008 15016346 22524519 30032692 45049038 60065384 90098076 180196152