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133002150 = 23521396379
BaseRepresentation
bin1111110110101…
…11001110100110
3100021021012122120
413323113032212
5233022032100
621110410410
73203333241
oct773271646
9307235576
10133002150
1169092536
1238660a06
132172a0c8
1413942258
15ba230a0
hex7ed73a6

133002150 has 48 divisors (see below), whose sum is σ = 332270400. Its totient is φ = 35206560.

The previous prime is 133002119. The next prime is 133002157. The reversal of 133002150 is 51200331.

It is a happy number.

133002150 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133002157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17661 + ... + 24039.

It is an arithmetic number, because the mean of its divisors is an integer number (6922300).

Almost surely, 2133002150 is an apocalyptic number.

133002150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133002150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166135200).

133002150 is an abundant number, since it is smaller than the sum of its proper divisors (199268250).

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

133002150 is a wasteful number, since it uses less digits than its factorization.

133002150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6533 (or 6528 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 133002150 is about 11532.6558086158. The cubic root of 133002150 is about 510.4496227136.

Adding to 133002150 its reverse (51200331), we get a palindrome (184202481).

The spelling of 133002150 in words is "one hundred thirty-three million, two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 139 150 278 417 695 834 1390 2085 3475 4170 6379 6950 10425 12758 19137 20850 31895 38274 63790 95685 159475 191370 318950 478425 886681 956850 1773362 2660043 4433405 5320086 8866810 13300215 22167025 26600430 44334050 66501075 133002150