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133446880 = 2557196271
BaseRepresentation
bin1111111010000…
…11110011100000
3100022002210201001
413331003303200
5233130300010
621124121344
73210164650
oct775036340
9308083631
10133446880
1169366686
1238836254
1321854668
1413a1a360
15baaec3a
hex7f43ce0

133446880 has 96 divisors (see below), whose sum is σ = 379330560. Its totient is φ = 43338240.

The previous prime is 133446871. The next prime is 133446883. The reversal of 133446880 is 88644331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133446883) 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, 18145 + ... + 24415.

It is an arithmetic number, because the mean of its divisors is an integer number (3951360).

Almost surely, 2133446880 is an apocalyptic number.

133446880 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 133446880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189665280).

133446880 is an abundant number, since it is smaller than the sum of its proper divisors (245883680).

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

133446880 is a wasteful number, since it uses less digits than its factorization.

133446880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6304 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 133446880 is about 11551.9210523618. The cubic root of 133446880 is about 511.0179335850.

The spelling of 133446880 in words is "one hundred thirty-three million, four hundred forty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 266 280 304 380 532 560 608 665 760 1064 1120 1330 1520 2128 2660 3040 4256 5320 6271 10640 12542 21280 25084 31355 43897 50168 62710 87794 100336 119149 125420 175588 200672 219485 238298 250840 351176 438970 476596 501680 595745 702352 834043 877940 953192 1003360 1191490 1404704 1668086 1755880 1906384 2382980 3336172 3511760 3812768 4170215 4765960 6672344 7023520 8340430 9531920 13344688 16680860 19063840 26689376 33361720 66723440 133446880