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133391232 = 2733132969
BaseRepresentation
bin1111111001101…
…10001110000000
3100021222222101000
413330312032000
5233122004412
621123012000
73206543502
oct774661600
9307888330
10133391232
1169328897
123880a000
1321835230
1413a03d72
15ba9d4dc
hex7f36380

133391232 has 128 divisors (see below), whose sum is σ = 424116000. Its totient is φ = 41029632.

The previous prime is 133391227. The next prime is 133391243. The reversal of 133391232 is 232193331.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133391196 and 133391205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43444 + ... + 46412.

Almost surely, 2133391232 is an apocalyptic number.

133391232 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 133391232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212058000).

133391232 is an abundant number, since it is smaller than the sum of its proper divisors (290724768).

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

133391232 is a wasteful number, since it uses less digits than its factorization.

133391232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005 (or 2987 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 133391232 is about 11549.5121974913. The cubic root of 133391232 is about 510.9468913853.

The spelling of 133391232 in words is "one hundred thirty-three million, three hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 2969 3456 3744 4992 5616 5938 7488 8907 11232 11876 14976 17814 22464 23752 26721 35628 38597 44928 47504 53442 71256 77194 80163 95008 106884 115791 142512 154388 160326 190016 213768 231582 285024 308776 320652 347373 380032 427536 463164 570048 617552 641304 694746 855072 926328 1042119 1140096 1235104 1282608 1389492 1710144 1852656 2084238 2470208 2565216 2778984 3420288 3705312 4168476 4940416 5130432 5557968 7410624 8336952 10260864 11115936 14821248 16673904 22231872 33347808 44463744 66695616 133391232