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133496 = 23113741
BaseRepresentation
bin100000100101111000
320210010022
4200211320
513232441
62510012
71064126
oct404570
9223108
10133496
1191330
1265308
13489bc
1436916
152984b
hex20978

133496 has 32 divisors (see below), whose sum is σ = 287280. Its totient is φ = 57600.

The previous prime is 133493. The next prime is 133499. The reversal of 133496 is 694331.

It is an interprime number because it is at equal distance from previous prime (133493) and next prime (133499).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a subfactorial, being equal to the number of derangements of 9 objects .

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3236 + ... + 3276.

2133496 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 133496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143640).

133496 is an abundant number, since it is smaller than the sum of its proper divisors (153784).

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

133496 is a wasteful number, since it uses less digits than its factorization.

133496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 91 counting only the distinct ones).

The product of its digits is 1944, while the sum is 26.

The square root of 133496 is about 365.3710442824. The cubic root of 133496 is about 51.1080625501.

The spelling of 133496 in words is "one hundred thirty-three thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 22 37 41 44 74 82 88 148 164 296 328 407 451 814 902 1517 1628 1804 3034 3256 3608 6068 12136 16687 33374 66748 133496