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133055244 = 22337434093
BaseRepresentation
bin1111110111001…
…00001100001100
3100021100220111000
413323210030030
5233030231434
621111500300
73203644110
oct773441414
9307326430
10133055244
1169119413
1238687690
132174831a
1413957740
15ba33b99
hex7ee430c

133055244 has 96 divisors (see below), whose sum is σ = 403504640. Its totient is φ = 37122624.

The previous prime is 133055239. The next prime is 133055257. The reversal of 133055244 is 442550331.

133055244 is a `hidden beast` number, since 133 + 0 + 5 + 524 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30462 + ... + 34554.

Almost surely, 2133055244 is an apocalyptic number.

133055244 is a gapful number since it is divisible by the number (14) 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 133055244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201752320).

133055244 is an abundant number, since it is smaller than the sum of its proper divisors (270449396).

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

133055244 is a wasteful number, since it uses less digits than its factorization.

133055244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 133055244 is about 11534.9574771648. The cubic root of 133055244 is about 510.5175369209.

The spelling of 133055244 in words is "one hundred thirty-three million, fifty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 84 86 108 126 129 172 189 252 258 301 378 387 516 602 756 774 903 1161 1204 1548 1806 2322 2709 3612 4093 4644 5418 8127 8186 10836 12279 16254 16372 24558 28651 32508 36837 49116 57302 73674 85953 110511 114604 147348 171906 175999 221022 257859 343812 351998 442044 515718 527997 703996 773577 1031436 1055994 1231993 1547154 1583991 2111988 2463986 3094308 3167982 3695979 4751973 4927972 6335964 7391958 9503946 11087937 14783916 19007892 22175874 33263811 44351748 66527622 133055244