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133453120 = 265795279
BaseRepresentation
bin1111111010001…
…01010101000000
3100022010010021011
413331011111000
5233130444440
621124210304
73210222103
oct775052500
9308103234
10133453120
1169370339
1238839994
1321857458
1413a1c73a
15bab19ea
hex7f45540

133453120 has 56 divisors (see below), whose sum is σ = 321868800. Its totient is φ = 52695552.

The previous prime is 133453081. The next prime is 133453121. The reversal of 133453120 is 21354331.

It is a junction number, because it is equal to n+sod(n) for n = 133453091 and 133453100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133453121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22641 + ... + 27919.

Almost surely, 2133453120 is an apocalyptic number.

133453120 is a gapful number since it is divisible by the number (10) 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 133453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160934400).

133453120 is an abundant number, since it is smaller than the sum of its proper divisors (188415680).

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

133453120 is an equidigital number, since it uses as much as digits as its factorization.

133453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5375 (or 5365 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 133453120 is about 11552.1911341529. The cubic root of 133453120 is about 511.0258985576.

The spelling of 133453120 in words is "one hundred thirty-three million, four hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 158 160 316 320 395 632 790 1264 1580 2528 3160 5056 5279 6320 10558 12640 21116 25280 26395 42232 52790 84464 105580 168928 211160 337856 417041 422320 834082 844640 1668164 1689280 2085205 3336328 4170410 6672656 8340820 13345312 16681640 26690624 33363280 66726560 133453120