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180215152 = 241319311471
BaseRepresentation
bin10101011110111…
…01110101110000
3110120002212201021
422233131311300
5332113341102
625514345224
74315542415
oct1257356560
9416085637
10180215152
11927aa347
125042b214
132b44aab0
1419d1210c
1510c4c137
hexabddd70

180215152 has 80 divisors (see below), whose sum is σ = 408862720. Its totient is φ = 76204800.

The previous prime is 180215149. The next prime is 180215153. The reversal of 180215152 is 251512081.

180215152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180215153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121777 + ... + 123247.

It is an arithmetic number, because the mean of its divisors is an integer number (5110784).

Almost surely, 2180215152 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 180215152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204431360).

180215152 is an abundant number, since it is smaller than the sum of its proper divisors (228647568).

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

180215152 is a wasteful number, since it uses less digits than its factorization.

180215152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

The square root of 180215152 is about 13424.4237120258. The cubic root of 180215152 is about 564.8464897384.

The spelling of 180215152 in words is "one hundred eighty million, two hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 31 38 52 62 76 104 124 152 208 247 248 304 403 494 496 589 806 988 1178 1471 1612 1976 2356 2942 3224 3952 4712 5884 6448 7657 9424 11768 15314 19123 23536 27949 30628 38246 45601 55898 61256 76492 91202 111796 122512 152984 182404 223592 305968 363337 364808 447184 592813 726674 729616 866419 1185626 1453348 1732838 2371252 2906696 3465676 4742504 5813392 6931352 9485008 11263447 13862704 22526894 45053788 90107576 180215152