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133069440 = 273579901
BaseRepresentation
bin1111110111001…
…11101010000000
3100021101121221210
413323213222000
5233031210230
621112050120
73204033360
oct773475200
9307347853
10133069440
1169129049
1238693940
132175191a
141395c9a0
15ba37eb0
hex7ee7a80

133069440 has 128 divisors (see below), whose sum is σ = 484801920. Its totient is φ = 30412800.

The previous prime is 133069439. The next prime is 133069499. The reversal of 133069440 is 44960331.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 133069398 and 133069407.

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, 8490 + ... + 18390.

It is an arithmetic number, because the mean of its divisors is an integer number (3787515).

Almost surely, 2133069440 is an apocalyptic number.

133069440 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 133069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242400960).

133069440 is an abundant number, since it is smaller than the sum of its proper divisors (351732480).

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

133069440 is an equidigital number, since it uses as much as digits as its factorization.

133069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9930 (or 9918 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 133069440 is about 11535.5728076242. The cubic root of 133069440 is about 510.5356924103.

The spelling of 133069440 in words is "one hundred thirty-three million, sixty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 9901 13440 19802 29703 39604 49505 59406 69307 79208 99010 118812 138614 148515 158416 198020 207921 237624 277228 297030 316832 346535 396040 415842 475248 554456 594060 633664 693070 792080 831684 950496 1039605 1108912 1188120 1267328 1386140 1584160 1663368 1900992 2079210 2217824 2376240 2772280 3168320 3326736 3801984 4158420 4435648 4752480 5544560 6336640 6653472 8316840 8871296 9504960 11089120 13306944 16633680 19009920 22178240 26613888 33267360 44356480 66534720 133069440