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133441280 = 285753281
BaseRepresentation
bin1111111010000…
…10011100000000
3100022002112000122
413331002130000
5233130110110
621124035412
73210142430
oct775023400
9308075018
10133441280
1169362455
1238832b68
1321851c4b
1413a182c0
15baad255
hex7f42700

133441280 has 144 divisors (see below), whose sum is σ = 373512384. Its totient is φ = 44728320.

The previous prime is 133441261. The next prime is 133441289. The reversal of 133441280 is 82144331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133441289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474740 + ... + 475020.

It is an arithmetic number, because the mean of its divisors is an integer number (2593836).

Almost surely, 2133441280 is an apocalyptic number.

133441280 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 133441280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186756192).

133441280 is an abundant number, since it is smaller than the sum of its proper divisors (240071104).

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

133441280 is an equidigital number, since it uses as much as digits as its factorization.

133441280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 133441280 is about 11551.6786658909. The cubic root of 133441280 is about 511.0107853213.

The spelling of 133441280 in words is "one hundred thirty-three million, four hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 112 128 140 160 212 224 256 265 280 281 320 371 424 448 530 560 562 640 742 848 896 1060 1120 1124 1280 1405 1484 1696 1792 1855 1967 2120 2240 2248 2810 2968 3392 3710 3934 4240 4480 4496 5620 5936 6784 7420 7868 8480 8960 8992 9835 11240 11872 13568 14840 14893 15736 16960 17984 19670 22480 23744 29680 29786 31472 33920 35968 39340 44960 47488 59360 59572 62944 67840 71936 74465 78680 89920 94976 104251 118720 119144 125888 148930 157360 179840 208502 237440 238288 251776 297860 314720 359680 417004 474880 476576 503552 521255 595720 629440 834008 953152 1042510 1191440 1258880 1668016 1906304 2085020 2382880 2517760 3336032 3812608 4170040 4765760 6672064 8340080 9531520 13344128 16680160 19063040 26688256 33360320 66720640 133441280