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133373040 = 2435599419
BaseRepresentation
bin1111111001100…
…01110001110000
3100021222001102020
413330301301300
5233120414130
621122351440
73206436453
oct774616160
9307861366
10133373040
1169316159
12387bb580
1321829b78
14139db49a
15ba97e10
hex7f31c70

133373040 has 80 divisors (see below), whose sum is σ = 420508800. Its totient is φ = 34959616.

The previous prime is 133373017. The next prime is 133373063. The reversal of 133373040 is 40373331.

It is an interprime number because it is at equal distance from previous prime (133373017) and next prime (133373063).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 133373040.

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, 9451 + ... + 18869.

It is an arithmetic number, because the mean of its divisors is an integer number (5256360).

Almost surely, 2133373040 is an apocalyptic number.

133373040 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 133373040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210254400).

133373040 is an abundant number, since it is smaller than the sum of its proper divisors (287135760).

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

133373040 is a wasteful number, since it uses less digits than its factorization.

133373040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9494 (or 9488 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 24.

The square root of 133373040 is about 11548.7246049077. The cubic root of 133373040 is about 510.9236625511.

The spelling of 133373040 in words is "one hundred thirty-three million, three hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 4720 7080 9419 14160 18838 28257 37676 47095 56514 75352 94190 113028 141285 150704 188380 226056 282570 376760 452112 555721 565140 753520 1111442 1130280 1667163 2222884 2260560 2778605 3334326 4445768 5557210 6668652 8335815 8891536 11114420 13337304 16671630 22228840 26674608 33343260 44457680 66686520 133373040