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133410132 = 223367103179
BaseRepresentation
bin1111111001110…
…10110101010100
3100022000221022000
413330322311110
5233123111012
621123235300
73206652552
oct774726524
9308027260
10133410132
1169341009
1238818b30
1321840a0b
1413a0abd2
15baa3ddc
hex7f3ad54

133410132 has 96 divisors (see below), whose sum is σ = 356428800. Its totient is φ = 43138656.

The previous prime is 133410127. The next prime is 133410139. The reversal of 133410132 is 231014331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133410139) 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 31 ways as a sum of consecutive naturals, for example, 745219 + ... + 745397.

It is an arithmetic number, because the mean of its divisors is an integer number (3712800).

Almost surely, 2133410132 is an apocalyptic number.

133410132 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 133410132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178214400).

133410132 is an abundant number, since it is smaller than the sum of its proper divisors (223018668).

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

133410132 is a wasteful number, since it uses less digits than its factorization.

133410132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133410132 is about 11550.3303848851. The cubic root of 133410132 is about 510.9710220073.

Adding to 133410132 its reverse (231014331), we get a palindrome (364424463).

The spelling of 133410132 in words is "one hundred thirty-three million, four hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 103 108 134 179 201 206 268 309 358 402 412 537 603 618 716 804 927 1074 1206 1236 1611 1809 1854 2148 2412 2781 3222 3618 3708 4833 5562 6444 6901 7236 9666 11124 11993 13802 18437 19332 20703 23986 27604 35979 36874 41406 47972 55311 62109 71958 73748 82812 107937 110622 124218 143916 165933 186327 215874 221244 248436 323811 331866 372654 431748 497799 647622 663732 745308 995598 1235279 1295244 1991196 2470558 3705837 4941116 7411674 11117511 14823348 22235022 33352533 44470044 66705066 133410132