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133263040 = 265616827
BaseRepresentation
bin1111111000101…
…10111011000000
3100021202110112011
413330112323000
5233103404130
621120142304
73205500661
oct774267300
9307673464
10133263040
1169250549
1238767994
13217bba91
14139ad368
15ba7552a
hex7f16ec0

133263040 has 56 divisors (see below), whose sum is σ = 322582032. Its totient is φ = 52423680.

The previous prime is 133263023. The next prime is 133263049. The reversal of 133263040 is 40362331.

It is not an unprimeable number, because it can be changed into a prime (133263049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16107 + ... + 22933.

Almost surely, 2133263040 is an apocalyptic number.

133263040 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 133263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161291016).

133263040 is an abundant number, since it is smaller than the sum of its proper divisors (189318992).

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

133263040 is an equidigital number, since it uses as much as digits as its factorization.

133263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 133263040 is about 11543.9611918960. The cubic root of 133263040 is about 510.7831617403.

The spelling of 133263040 in words is "one hundred thirty-three million, two hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3904 4880 6827 9760 13654 19520 27308 34135 54616 68270 109232 136540 218464 273080 416447 436928 546160 832894 1092320 1665788 2082235 2184640 3331576 4164470 6663152 8328940 13326304 16657880 26652608 33315760 66631520 133263040